The catalogue of bookplates and trade cards, Franks Bequest: Catalogue of British and American Book Plates Bequested to the Trustees of the British Museum by Sir Augustus Wollaston Franks (1903), has been an important reference for collectors for more than a century. The Catalogue was digitised by the University of Toronto in January 2009. (For the three volumes, see here, here and here.) In the third volume of the Catalogue are the bookplates of institutions such as Public Libraries (293), Societies and institutions (297), Clubs (301) and business such as Booksellers and Circulating Libraries (310).
Since the University of Toronto OCR is not without it faults, and it is useful to have even a one-hundred-year-old list of bookplates of eighteenth-and nineteenth-century Booksellers and Circulating Libraries, I have edited the text and reproduced it here. BTW: I only have two of the 164 bookplates mentioned below (Franks Cat. nos. 34401 and 34405; though I am about to buy a third). I am not sure how many are eighteenth-century or of businesses based in London, the focus of my interest, but I am a very long way from being a collector of all of the bookplates listed below, or of bookplates in general.
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34254 Abbott, Printer, Bookseller, Stationer, [and] Binder, Diss.
34255 Adams's, D., Library.
34256 Adams, J., Bookseller and Stationer, Stamford. (C. [and] N. Hull.)
34257 Adolphe, Art Photographer and Miniature Painter, 75 Grafton St., Dublin. (A Trade card?).
34258 Andrews's, John, Circulating Library. Calcutta. 1774. (Shepperd sc.)
34259 Apollo Circulating Library and Music Warehouse, South Street, Worthing.
34260 (Auld.) This Book belongs to Auld's Circulating Library (No. 18) Wardour-Street, Soho.
34261 Bagster, Sam., No. 81 Strand, near Cecil Street.
34262 Balcomb's, T., Circulating Library at Burwash.
34263 (Baldrey.) This Book belongs to Baldrey's Circulating Library No. 279 Holborn, nearly opposite the end of Red Lion Street.
34264 Barber. This Book belongs to the Circulating Library of Joseph, Bookseller in Amen Corner, near St. Nicholas Church, Newcastle. 1756.
34265 Barber, Joseph, and Son, Bookseller and Stationers, in Amen-Comer, Newcastle. (T. Bewick.)
34266 Barfield, Library, Broadstairs. (Biddle sc. Birm.)
34267 Barratt's Library, Bond Street.
34268 (Bates.) This Book belongs to Bates's Circulating Library, Holyhead.
34269 (Bates.) This Book belongs to Bates's Circulating Library, Holyhead. A different plate.)
34270 Baxter, Printer, Bookseller, Binder and Stationer, Lewes. (Jones Sc.)
34271 Beart's Circulating Library. Opposite the Bridge, Yarmouth. (Beart, Printer.)
34272 Beart's Circulating Library. On the Quay, Yarmouth.
34273 Bettison late Henley's. Cheltenham Library.
34274 Blagden's Circulating Library.
34275 Bliss, R., Bookseller, Stationer, and Circulating Librarian, Oxford.
34276 Bliss, R., Bookseller, Stationer, and Circulating Librarian, Oxford. [A different plate.]
34277 Bristow's Kentish Library, Parade, St. Andrew's, Canterbury.
34278 Bristow [and] Cowtan. Kentish Library, Parade, Canterbury.
34279 Brooke, Bought of Richd., Stationer at ye Ship near ye new Church in the Strand.
34280 Brotherton, John, At the Bible in Threadneedle Street over against Mercht. Taylors Hall bindeth all Sorts of Books.
34281 Burn, Bound by Thomas, 37 Kirby Street, Hatton Garden.
34282 Burnett, John, Bookseller and Stationer, at Shakespeare's Head, End of the Broad Street, Aberdeen.
34283 (Cabe.) This Book belongs to Edward Cabe's Circulating Library in Avemary Lane Ludgate Street.
34284 (Cass.) This Book belongs to Cass's Circulating Library. The Comer of Lamb's Conduit Street, Theobald's Koad.
34285 Chamley [and] Compy's. Circulating Library.
34286 Churchill, John, Medical Bookseller, Princes Street, Leicester Square.
34287 … Circulating Library, mutilated. London.
34288 Clarke, Abraham, Bookseller, Stationer, and Bookbinder, at the Bible and Crown, Near the Market Cross, and the Bull's Head Inn, Manchester.
34289 Clarke, John, Bookseller and Stationer, ye Corner of Essex Street, in ye Strand. (C. Mosley sculp.)
34290 Coke's, Leith., Circulating Library.
34291 Colburn [and] Co.'s British and Foreign Public Library, Conduit Street Hanover Square. 
34292 Colegate's, R., Kentish Library, Parade Canterbury.
34293 Commins, Bookseller, Stationer, Musicseller, [and]c. Tavistock. (The Arms of the Company of Stationers.) (Colley Plymo.)
34294 Coppinger, Tho., Hairdresser and Stationer's Circulating Library Hawkhurst.
34295 Cork. The Minerva Rooms, Circulating Library and Beading Room.
34296 Cowtan [and] Colegate's Kentish Library, Parade, Canterbury.
34297 Cowtan [and] Colegate's Kentish Library, Parade, Canterbury. (A different plate.)
34298 Crokatt, Bought of I., at the Golden Key near ye Inner-Temple-Gate Fleet-street.
34299 Crompton, Josh., Stationer; At the Circulating Library in Colmer Row. Birmingham.
34300 Davenport, Music Seller, Oxford.
34301 (Davis.) This Book belongs to Wm. Davis, Bookseller and Stationer, at the Bedford Historical [and] Miscellaneous Circulating Library, No. 15, Southampton Row, Russell Square.
34302 (Dedman.) This Book belongs to Dedman, Bookseller, Stationer [and] Bookbinder, at his Circulating Library, No. 12 New Store-Street, Bedford-Square, London.
34303 Dessy's, Henry, at the Golden Bible, over against Catherine Street, in the Strand. This Book and all sorts are to be had at. (I. Pine Sculp.)
34304 Dunoyer, Sold by Peter, Book, Map, [and] Print-Seller at ye sign of Erasmus's Head, near the Fountain Tavern in the Strand.
34305 Earle's Original French [and] English Circulating Library, 47 Albemarle Street, Three Doors from Piccadilly.
34806 Egerton, Thos., Bookseller, Successor to Mr. Millan. 32 Opposite the Admiralty Charing Cross. (Smith sculpt. Bow Lane.)
34307 Fergusson, Army, Navy [and] Mercantile Printer, etc. 108 Patrick -Street, Cork.
34308 (Fitzpatrick.) Bought at Fitzpatrick's Music [and] Musical Instrument Ware-House No. 10 South Mall Cork.
34309 Fitzpatrick, H., Printer and Bookseller to the Royal College of St. Patrick No. 4 Capel Street near Essex Bridge, Dublin.
34310 Flack, M., Music Binder, No. 40 Maiden Lane Covt. Gardn.
34311 Flindall, I. M. No. 51, Lower-Marsh, Lambeth.
34312 (Fox.) This Book belongs to Fox's Circulating Library, Dartmouth Street, Westminster.
34313 Frazer, Army Printer, Stationer and Bookbinder, 37 Arran Quay, Dublin.
34314 (Garner.) This Book belongs to Garner's Circulating Library Margate.
34315 Graham, A. M., Bookseller 16 (Burke sculpt. D'Olier sc.)
34316 Grant [and] Bolton, Booksellers. (No. 4) Dame Street, Dublin.
34317 Grant, Bolton [and] Co. 4 Dame Street, Dublin. (Sandys sculpt.)
34318 Gray's, Mrs., Circulating Library (Ezekiel sculp. Exeter.)
34319 Green, George, All sorts of Books bound [and] sold by, in Whiterose Court Coleman Street. (T. Cole sculp.)
34320 Gregory's Extensive and Increasing Circulating Library on the Steyne Brighthelmstone.
34321 Grisdale, W., [and] Co. Booksellers, Whitehaven.
34322 Groenewegan, I., [and] A. Van der Hoeck in the Strand. This Book is to be sold by.
34323 Grosvenor Gallery Library. 1880. (Harry Soane ft.)
34324 Grosvenor Gallery Library Limited. (Harry Soane sc. London.)
34325 Guy, H., Bookseller [and] Stationer, High Street Chelmsford.
34326 Haly, James, Navy, Army, and Mercantile Bookseller [and] Stationer, King's-Arms, Exchange, Cork.
34327 Harding, Bound by W., Gosport.
34328 Harrison, Matthew, Stationer, 82 Cornhill, London.
34329 Harward's, S., Circulating Library, Colonnade-Buildings, Cheltenham.
34330 Harward, S., Bookseller [and] Stationer, Tewkesbury. (F. Jukes sc.)
34331 Henderson, Bookseller at His Circulating Library, 14 Tavistock Street, Covent Garden.
34332 Hime's, Sold at, Musical Circulating Library, No. 34 College Green, Dublin.
34833 Hodgson's, E., Circulating Library, at the Princess Amelia's Arms, the Corner of Wimpole and Great Marylebone Streets.
34334 Hookham's Circulating Library, New Bond Street, The Corner of Bruton Street.
34335 Hoon, W., Bookseller [and] Stationer, Ashborne.
34336 Hoppers Circulating Library, No. 12 Market St. Lane, Manchester.
34337 Howgate, Samuel, Bookseller at the Dial in Kirkgate, Leeds.
34338 Hull, Library, Bowl Alley Lane.
34339 Humble's Circulating Library, Pope's Head, Side, Newcastle. (T. Bewick.)
34340 Humphry's, This Book belongs to. Circulating Library, Chichester. 1785.
34341 Huntington, Stationer [and] Bookseller, No. 21, High Street, Bloomsbury.
34342 (Ipswich.) Bibliothèque Française D'Ipswich.
34343 Ireland's Library, Lewes, Sussex.
34344 Jacotin's Circulating Library, Patrick Street.
34345 Knightsbridge House Subscription Library. Established 1st January, 1834.
34346 Lambert, Sold by James, in the Cliff, Lewes.
34347 Lane's Circulating Library, Minerva, Leadenhall Street, London.
34348 Minerva Library, Leadenhall Street, London.
34349 (Loveday.) Made [and] sold by John Loveday, Stationer at the White Hart on Fish Street Hill near ye Monument.
34350 (Lucas.) Belonging to T. Lucas's Circulating Library. Bookseller, Auctioneer and Appraiser, No. 10 High Street, Birmingham. (Tolley sct.)
34351 McKenzie, Printer, Bookseller [and] Stationer, To the University of Dublin. (Esdall sculp.)
34352 McLachlan [and] Chalmers Circulating Library, Dumfries.
34353 March, Sold by John, Bookseller near the Conduit in Exon.
34354 March, Sold by John, Bookseller, at ye sign of the Bible a Little Below St. Martins Lane in Exon.
34355 Matthews, Bookseller, No. 38 North Main Street, comer of Broad Lane, Cork.
34356 Maurice, Stationer and Bookseller, at his Circulating Library, No. 52 Fore Street Dock. (Dawson sculpt. Dock.)
34357 Meehan, J. F., Ye Olde Booke Shoppe, Bath. (The Arms of the City of Bath.)
34358 Milliken, Bookseller to his Majesty, the Lord Lieutenant and the University, 104 Grafton Street, Dublin.
34359 Milliken's, E., 104 Grafton Street.
34360 Milliken, Bookseller to the University, 104 Grafton Street, Dublin.
34361 Moetjens, This Book is to be sold by James, in the Strand.
34362 Moore, Peter, Bookseller and Stationer, No. 100 Grafton Street, Dublin. (Gonne sculpt.)
34363 Mortier, Sold by David, Book-seller at ye sign of Erasmus's, head near Bedford house. (Sturt sculp.)
34364 Moule, T., Bookseller [and] Stationer, No. 34 Duke Street, Grosvenor Square.
34365 Murch, Sold by Fidelio, Booksr. [and] Bookbinder, In the Highstreet, Barnstaple. (J. Woodman Sc. Exon.)
34366 Muskett, Charles, Printer, Bookseller, Binder, and Stationer, 5 Gentleman's Walk, Old Haymarket, Norwich.
34367 Nelson, This Book is the Property of E., Circulating Library, 127 Snow Hill, Birmingm.
34368 Newsell's Library. (This is said not to be a circulating Library.)
34369 Nicholson's, John, Circulating Library, Post-Office, Alford.
34370 (Noble.) This Book belongs to Saml. Noble's Circulating Library at Popes head in Camaby Street near Carnaby Market.
34371 O'Hara [and] Co., Account-Book Manufacturers, Booksellers and Stationers, Patrick Street, Cork.
34372 Olds's Circulating Library, Upper Temple Street.
34373 Owen's, E., Circulating Library, Wine Street, Swansea. 1792.
34374 Packer, G., late Lintern, Music Seller, Bath, No. 13 in the Grove.
34375 (Page.) This Book belongs to Page's Circulating Library.
34376 Parker, T. H., Dealer in Paintings, Drawings, and Prints. No. 7 Spur Street, Leicester Square, W.C.
34377 Parsons and Galignam's British Library in Prose. (I. P. Simon del. sculp.)
34378 Payne, Tho., Bookseller in Wrexham.
34379 Pope, John, Bookseller in Southgate Street Exon. (Coffin Xon.)
34380 Power [and] Co. Sold by William, at their-Music [and] Musical Instrument Warehouse No. 4 Westmorland Street College Green, Dublin. (S. Close sc.)
34381 (Quaritch.) From the Sunderland Library, Blenheim Palace, Purchased, March, 1883, By Bernard Quaritch, 15 Piccadilly, London.
34382 (Quaritch.) From the Sunderland Library, Blenheim Palace, Purchased, March, 1883, By Bernard Quaritch, 15 Piccadilly, London. (The last plate printed on grey paper.)
34383 (Randell.) Printed at London, and are to be sold by Richard Randell, and Peter Maplisden, Booksellers in Newcastle, upon the Sand-hill near the Bridge.
34384 Richardson's, Welld. M., Circulating Library, Annan. (P. Clark, sculpt. Annan.)
34385 Rives, Joseph, Maker at the Black Cap, In Fenwick Street Liverpool.
34386 Rogers. Printer Bookseller and Stationer. Newmarket.
34387 Rose's Circulating Library, Newport-Pagnel.
34388 Shandon, St. Ann's, Eeligious Circulating Library.
34389 Sala D., London. (A bookplate.) (Butcher Sculp. May's Buildings Covt. Gard.)
34390 Sharp, G., High Street, Bedford.
34391 (Sheate.) This Book belongs to Sheate's Circulating Library.
34392 Stacy, J., Bookseller Norwich.
34393 Swinborne [and] Walter, Colchester. Sold by.
84394 Tennant's Circulating Library, Top of Milsom-Street, Bath.
34395 Terry. Sold by G., 54 Pater Noster Eow St. Pauls.
34396 Thomas, Bookbinder, Bookseller [and] Stationer, 14 Boscawen Street, Truro.
34397 Thorn, Sold by Nathaniel, Bookseller in St. Peter's Church Yard Exon.
34398 Town's, John, Circulating Library South Shields. (T. Bewick.)
34399 Trickett, Willm., Vellum Binder and Stationer, opposite Cock Lane Snow Hill London.
34400 Upham, Edward, Bookseller, Stationer, [and] Printer, Broad Gate, Exeter.
34401 Vaillant's, This book is to be had at Paul [and] Isaac, at the Ship in the Strand London.
34402 Vandenhoeck, This Book is to be sold at the shop of Abraham, and George Richmond, the sign of Virgill's Head, Opposite Exeter Exchange in the Strand.
34403 Varenne, This and, All Sorts of Foreign Books are to be had, at Math, de. Bookseller at the Senecas Head in the Strand London.
34404 Varenne's, This Book and all sorts are to be had at Math., at the Senecas head near Sommerset house in ye Strand. (H. Hulsbergh sc.)
34405 Ward, Caesar, [and] Richard Chandler. At the Ship Between the Temple Gates in Fleet-Street, And at their Shop at Scarborough.
34406 Ward, Caesar, and Richd. Chandler, Booksellers, At the Ship, without Temple-Barr, London. (T. Haynes Sculpt. York.)
34407 Webb's Circulating Library, Bedford.
34408 Westley, R. H., Bookseller [and] Stationer, No. 159, Opposite the New Church, Strand.
34409 White's Circulating Library, No. 13 St. Augustine's Back, Bristol.
34410 White, Thomas, at the Exchange of Cork. Bookseller [and] Stationer.
34411 Wigan Subscription Library
34412 Wildy [and] Davis, 12 Brownlow St. Holborn, and Lincoln's Inn Gateway, Carey St.
34413 Wilson, Wm., Bookseller [and] Stationer, at Homer's head No. 6 Dame Street, the Comer of Palace Street, Dublin.
34414 Withers, Ewd., Bookseller at the Seven Stars over Chancery Lane Fleet Street.
34415 (Woodbridge.) This Book is the Property of Woodbridge's Circulating Library, Brentford Bridge.
34416 (Yearsley.) This Book belongs to Ann Yearsley's Public Library In the Crescent, Hotwells.
34417 Young, John. Musical Instrument Seller, at the Dolphin and Crown at the West End of St Pauls Church.