On 25 Oct 1781 when Asa was 29, he married Rachel Briggs (53909) , daughter of William Briggs (37638) (23 Jul 1731-5 Dec 1815) & Elizabeth Copeland (44681) (6 May 1736-26 Aug 1828), in Scituate, MA.52 Born on 19 Aug 1755 in Scituate, MA.52 Rachel died in Norton, MA, on 23 Dec 1800; she was 45.42,559 Buried in Timothy Plain Cemetery, Norton.

Asa and Rachel were first cousins once removed. His father and her maternal grandfather were brothers.

Children of Asa and Rachel (Briggs) Copeland, born at Norton:
    i. Asa Copeland, b. 21 Sep 1782, d. 18 Oct 1814;
    ii. Joseph Copeland, b. 29 Jul 1784, d. 3 Jan 1864, m. 30 Apr 1809 Betsey Brettun (b. 11 Apr 1787 at Raynham, MA, d. 10 Feb 1846);
    iii. Lemuel Copeland, b. 14 Aug 1786, d. Aug 1858, m. 7 May 1810 Achsah Hart (b. ca. 1786 at Walpole, d. 5 May 1867);
    iv. Thomas Copeland, b. 9 Jun 1789, d. 5 Jan 1879 at Norton, m. 4 Jun 1821 Eliza Hodges (b. 1 Sep 1797 at Norton, d. 21 Apr 1872);
    v. David Copeland, b. 25 Dec 1792, d. 22 May 1798;
    vi. Elizabeth Copeland, b. 5 Feb 1794, m. 17 Oct 1816 William Rich;
    vii. Rachel Copeland, b. 2 Apr 1796, m. 25 Nov 1837 Elias Pratt; and
    viii. Sarah Allen Copeland, b. 14 Nov 1798, m. 7 Nov 1819 Samuel King Hart (b. ca. 1798 at Walpole).