I'm not 100% certain Allen Adams was the son of Charles Adams Jr.
We know that Charles Adams Jr. son of Charles Adams, deceased was bound out at age 12 in 1782.
The Familysearch website lists an Allen Adams as being born in 1795 to Charles Adams (no mother given).
We know that Allen Adams' marriage to Judy Adams was bonded by Reuben Hays Jr.
Based on the known age of Charles Jr, the notation on Familysearch, and the close association of this line of Hayses with the family of Charles Adams Sr, I figure that Charles Adams Jr. is the most probable choice.Could be a son of John Hobbs Adams Sr as well or someone else entirely.
The lack of specificity in records coupled with the size of these families and their use of the same given names makes for much confusion I'm afraid.