On 18 Mar 1714 when William was 31, he second married
Abigail Nichols, daughter of
Isaac Nichols (ca 1645-20 Dec 1713) &
Esther Clark (1 Mar 1644/5-15 Jan 1716/7), in Derby, CT.
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Children of Edward and Abigail (Nichols) Riggs, born at Derby:
i. Grace Riggs, b. 9 Oct 1708;
ii. Abigail Riggs, b. ca. 1711; and
iii. Esther Riggs, b. 10 Feb 1712/3, d. 14 Apr 1795, m. at New Haven 10 Jul 1746 Lemuel Carrington (b. ca. 1710, d. 7 Jan 1760 at Woodbridge, CT, son of Peter & Anna (Wilmot) Carrington).
Children of William and Abigail (Nichols) (Riggs) Moss, born at Derby:
i. Deborah Moss, b. 10 Feb 1714/5;
ii. Nichols Moss, b. 28 Apr 1716;
iii. Elizabeth Moss, b. 23 Jun 1718, d. soon;
iv. Elizabeth Moss, b. 30 Apr 1721;
v. Mercy Moss; and
vi. William Moss, b. 19 Mar 1725/6, d. 1797, resided at Derby, m. 1st there 30 May 1751 Prudence Hard (d. 6 Apr 1754 at Derby, dau. of James & Hannah Hard), m. 2nd at Derby 20 Sep 1759 Rachel Beardsley (dau. of Daniel & Mary (Bennett) Beardsley.55