There are 3 titles associated with this firm.

Edgeworth, Maria. The Basket-Woman, and the Orphans. Adorned with Cuts. New Haven: John Babcock and Son, 1819.
Edgeworth, Maria. The Cherry-Orchard: Also, a Description of the Tiger. New Haven: John Babcock and Son, S. & W.R. Babcock, William M'Carty and Thomas Davis, 1820.
Edgeworth, Maria. The Brother and Sister; or, Harry and Lucy. New Haven: John Babcock and Son, S. & W.R. Babcock, 1821.