I have a Martin Adams showing on 1840 Census in Mauch Chunk, Northampton Co PA. P. 214. On p. 212 is a Geo. Adams who is old enough to be Martin's father. But, no other evidence to support a connection. On-line genealogies for Geo. Adams of Northampton show him with all girls, no male descendants.
Seeking families of origin for Martin (born c. 1812) and wife Isabella (born c. 1813). They moved to Centre Co PA by 1850. Lived there at least into the 1860's.