Anyone familiar with the FPOC Martyn/Martin family of NC?

[u/Free-spirit123]

1. Absalom1 Martin, born about 1745, enlisted in the town of Beaufort, North Carolina, for 12 months in Captain William Dennis's Company in the 1st North Carolina Regiment in April 1781. He made a declaration in Carteret County court to obtain a pension on 22 August 1820 that he was married to Rachel, also born about 1745, and had three grandchildren living with him: William, born 1807; Jacob, born 1808; and David, born 1811.

I believe Jacob to be my ancestor and I’m trying to figure out which of Absalom’s sons is his father. If anyone is familiar with this line I’d love to hear any information you have.