There are 2 titles associated with this firm.

Austen, Jane. Emma: a novel. Three volumes in two. By the author of "Pride and prejudice," &c., &c. Philadelphia: Mathew Carey [121 Chesnut Street], 1816.
Harding, Anne R. Correction. A novel. Three volumes in two. Philadelphia: M. Carey and Son [126 Chestnut Street], 1818.