There are 7 titles associated with this firm.

Barbauld, Anna, L., and John Aikin. The Farm-Yard Journal, Also, the History of the Marten. Adorned with Cuts. New Haven: John Babcock and Son, 1819.
Harvey, Jane, Selina Hastings, Elizabeth S. Rowe, Mr. Perin, Mr. Smith, and Isaac Watts. A Real Treasure for a Pious Mind. Compiled by a Lady. From the Collections and Writings of the Countess of Huntingdon, Mrs. Rowe, Miss Harvey, Dr. Watts, Mr. Perin, Mr. Smith, and Others. New Haven: John Babcock and Son, 1820.
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.
Pilkington, Mary. Tales of the hermitage. 1820.
Edgeworth, Maria. The Brother and Sister; or, Harry and Lucy. New Haven: John Babcock and Son, S. & W.R. Babcock, Sidney's Press, 1821.
Barbauld, Anna, L., and John Aikin. The Farm-Yard Journal, Also, the History of the Marten. New Haven: John Babcock and Son, S. Babcock and Co., 1822.
Edgeworth, Maria. Forget and Forgive. By Miss Edgeworth. New Haven: John Babcock and Son, S. Babcock and Co., 1823.