There are 2 titles associated with this firm.

Cottin, Sophie R. Elizabeth; or, The Exiles of Siberia. A Tale, Founded on Facts. From the French of Mad. Cottin. London: G. and W. Appleyard, Oddy and Co., W. Oddy, 1807.
Mathews, Eliza K. Griffith Abbey; or, Memoirs of Eugenia. By Mrs. C. Mathews. In Two Volumes. London: Oddy and Co., J. Goodwin, 1807.