Note: There is another Amos Morgan that was born 13 Nov 1771, who was born in Colchester Township, New London Connecticut, to Amos Morgan and Sarah (Welch) Morgan. If he had died at the age of 64 he would have died in 1835 not 1851.

This Amos Morgan
Parents:
Johnathan Morgan (1755 - ? )
Anna (Woodburn) Morgan (1761 - ? )

Siblings:
Nancy Morgan b. 17 Mar 1781
Phebe Morgan b. 20 Apr 1785
Polly Morgan b. 21 Feb 1790

Spouses:
1. Cynthia (Brown) Morgan (1791 - 1813) m. 15 Dec 1808
2. Elizabeth (Brown) Morgan (1786 - 1865) m. 27 Feb 1814

Children:
Lucinda (Morgan) Wheeler; b. 24 Jul 1811
Amos B. Morgan; b. 28 Jun 1813

Ref:
1 Connecticut Births and Christenings, 1649-1906, database, FamilySearch (https://familysearch.org/ark:/61903/1:1:F74C-J29 : 3 December 2014), Amos Morgan, 21 Oct 1787; citing ; FHL microfilm unknown.
2 From original typescripts, Lucius Barnes Barbour Collection, 1928: http://dunhamwilcox.net/barbour/stonington_barbour_m.htm
3 Connecticut Births and Christenings, 1649-1906, database, FamilySearch (https://familysearch.org/ark:/61903/1:1:F745-Z97 : 3 December 2014), Amos Morgan, 13 Nov 1771; citing ; FHL microfilm unknown.
4 Morgan, Nathaniel H. (1869); James Morgan of New London, Conn. And His Descendants, From 1607 to 1869: Press of Case, Lockwood & Brainard., Hartford, Connecticut; PG 64 & 122; Retrieved from (https://dcms.lds.org/delivery/DeliveryManagerServlet?dps_pid=IE4561955)
5 Connecticut Deaths and Burials, 1772-1934, database, FamilySearch (https://familysearch.org/ark:/61903/1:1:F7JY-2W1 : 3 December 2014), Amos Morgan, 08 Apr 1851; citing Preston, New London, Connecticut, reference 1; FHL microfilm 3,359.
6 The Charles R. Hale Collection. Hale Collection of Connecticut Cemetery Inscriptions'; http://www.hale-collection.com/316-1-preston-city-cemetery.htm