Abraham married Anna Briggs. Anna died in Hambden, Geauga County, Ohio on 9 Mar 1845.
Children of Abraham and Anna Damon:
i. Abraham Damon, b. 9 Sep 1782;
ii. Rueben Damon, b. 15 May 1784;
iii. Anna Damon, b. 9 Apr 1786;
iv. Ely Damon, b. 1 Nov 1789;
v. Joel Damon, b. 26 Sep 1791;
vi. Hosea Damon, b. 20 Sep 1794;
vii. Amos Damon, b. 28 Aug 1797; and
viii. Polley Damon, b. 26 Jan 1800.