There are 6 titles associated with this firm.

Barbauld, Anna, L., Georgiana Cavendish, Frances O'Neill, and Maria Riddell. The Metrical Miscellany: Consisting Chiefly of Poems Hitherto Unpublished. London: Thomas Cadell and William Davies, 1802.
Pilkington, Mary. Goldsmith's Natural History, Abridged, for the use of schools. By Mrs. Pilkington. London: William Darton and Joseph Harvey [Gracechurch], Ann Vernor and Thomas Hood [Poultry], John Harris [1802-1819, 1824-1843], Lackington, Allen and Co., 1803.