There are 6 titles associated with this firm.

Broughton, Eliza. Poems and fugitive pieces, by Eliza. London: 1796.
du Crest de Saint-Aubin, Stéphanie F. The knights of the Swan, or, the court of Charlemagne: a romance, written by the Countess of Genlis, in continuation of The tales of the castle. In two volumes. Edinburgh: Ann Vernor and Thomas Hood [Birchin Lane], John Bell and John Bradfute [32 Parliament Close], 1796.
Richardson, Caroline E. Adonia, A Desultory Story, In Four Volumes. Inscribed, by Permission, To Her Grace the Duchess of Buccleugh. London: Alexander and James Black and Parry, John Bell and John Bradfute [32 Parliament Close], 1801.