There are 2 titles associated with this firm.

Smith, Charlotte Turner. A natural history of birds: intended chiefly for young persons. By Mrs. Charlotte Smith; in two volumes. London: John Arliss [Newgate Street], John Bumpus, John Sharpe [Piccadilly], 1819.
Harrison, Susannah. Songs in the Night. By Susanna Harrison, a young woman, under heavy afflictions. London: Richard Baynes, John Bumpus, Thomas Lochhead, J. Maitland, 1823.