There are 6 titles associated with this firm.

Davys, Mary. The reform'd coquet; or, memoirs of Amoranda. A novel. By Mrs. Davys, author of The humours of York. The seventh edition. London: Mary Cooper, George Woodfall [Charing Cross], William Cater, 1760.
Shakespeare, William. Hamlet, Prince of Denmark, Tragedy, Written by William Shakspeare, Marked with the Variations in the Manager’s Book, At the Theatre Royal in Drury-Lane. London: Charles Bathurst [26 Fleet Street], William Strahan, Francis, Charles and John Rivington, Lockyer Davis [High Holborn], Thomas Lowndes [77 Fleet Street], Robert Horsfield, William Owen and Son, Thomas Caslon, Stanley Crowder, Benjamin White, Thomas Longman II, Bedwell Law [13 Ave Maria Lane, 1767-1790, 1794-1795], Charles Dilly, Thomas Cadell [London], George Keith, T. Bowles, James Robson, George Robinson [ii], Thomas Payne and Son, Robert Baldwin I, H. L. Gardner, James Nichols, John Bew [Paternoster Row], William Cater, W. Stuart, S. A. Cumberlege, John Fielding [23 Paternoster], Thomas Evans [32 Paternoster Row], Samuel Hayes, Elizabeth Newbery, 1782.
Shakespeare, William. Measure for measure. A comedy written by William Shakspeare. Marked with the variations in the manager's book, at the Theatre-Royal in Drury-Lane. London: Charles Bathurst [26 Fleet Street], William Strahan, Francis, Charles and John Rivington, Lockyer Davis [Gray's Inn Gate], Thomas and William Lowndes, Richard Horsfield, William Owen and Son, Benjamin White, Thomas Norton Longman III, Bedwell Law [13 Ave Maria Lane, 1767-1790, 1794-1795], Charles Dilly, Thomas Cadell [London], T. Bowles, James Robson, George Robinson [ii], Thomas Payne and Son, Robert Baldwin I, Henry Gardner, James Nichols, John Bew [Paternoster Row], William Cater, W. Stuart, Thomas Evans [32 Paternoster Row], Samuel Hayes, Elizabeth Newbery, 1784.
Shakespeare, William. As you like it. A comedy. Written by William Shakspeare. Marked with the variations in the manager’s book, at the Theatre-Royal in Covent-Garden. London: Charles Bathurst [26 Fleet Street], Francis, Charles and John Rivington, Lockyer Davis [High Holborn], William Owen and Son, Benjamin White and Son, Thomas Longman II, Bedwell Law [Ave Maria Lane, unspecified number], Charles Dilly, Thomas Payne and Son, James Nichols, Thomas Cadell [London], James Robson, George, George, and John Robinson, Alexander Strahan [Printers St], T. Bowles, Robert Baldwin I, Henry Gardner, John Bew [Paternoster Row], William Cater, John Murray [25 Prince's Street], W. Stuart, Samuel Hayes, William Lowndes [76 Fleet Street], Samuel Bladon [13 Paternoster Row], George and Thomas Wilkie, William Fox, James Scatcherd and J. Whitaker, Elizabeth Newbery, James Barker, 1786.
Shakespeare, William. Coriolanus. A tragedy. Written by William Shakspeare. Marked with the variations in the manager’s book, at the Theatre-Royal in Drury-Lane. London: Charles Bathurst [26 Fleet Street], Francis, Charles and John Rivington, Lockyer Davis [High Holborn], William Owen and Son, Benjamin White and Son, Thomas Longman II, Bedwell Law [13 Ave Maria Lane, 1767-1790, 1794-1795], Charles Dilly, Thomas Payne and Son, James Nichols, Thomas Cadell [London], James Robson, George, George, and John Robinson, T. Bowles, Robert Baldwin I, Henry Gardner, John Bew [Clifford's Inn], William Cater, John Murray [25 Prince's Street], W. Stuart, Samuel Hayes, William Lowndes [76 Fleet Street], Samuel Bladon [13 Paternoster Row], George and Thomas Wilkie, William Fox, James Scatcherd and J. Whitaker, Elizabeth Newbery, James Barker, Thomas and John Egerton, David Ogilvy, Robert Faulder, 1786.
Gessner, Salomon. The death of Abel. In five books. Attempted from the German of Mr. Gessner. The thirtieth edition. London: Bedwell Law [13 Ave Maria Lane, 1767-1790, 1794-1795], Thomas Wilson and Robert Spence, William Cater, A. Millar, 1788.