This first record of an Asa, son of Benoni and Sarah has the correct birth year, but did not find a related marriage? The birth of Bette/Betsey Hamlin is listed at Spencer, MA but I could not confirm this. Spencer wasn't incorporated (from Leicester) until 1775?
Connecticut, Births and Christenings
Citing this Record "Connecticut, Births and Christenings, 1649-1906," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/F74J-2QR
Asa Gould Male
birth date: 07 Mar 1756 : SALISBURY TWP,LITCHFIELD,CT
father Benoni Gould
mother's name: Sarah
indexing project (batch) number: 7450332
Revolutionary War Pension Records Pension and bounty-land warrant application files Further information requires membership in fold3.com.
http://www.worldvitalrecords.com/SingleIndexIndView.aspx?ix=ft_revwarpensrec&hpp=1&rf=*,z*&qt=i&zdocid=22087407_310_0010
Veteran Surname: Gould
Veteran Given Name: Asa
State: Massachusetts
Service: Mass New York
Pension No.: W. 15749
Pensioner Surname: Gould
Pensioner Given Names: Betsey
Additional Names Appearing in This Document:
Robbins Kellogg
Chs Sedgwick
Morgan Lewis
Charles Sedgwick
Betsey Hamlin
Asa Gould
Betsey Gould
George Pettit
W Taylor
Fabius
Joel Pratt
Albert Cole
http://archiver.rootsweb.ancestry.com/th/read/GOULD/1999-09/0936706116
GOULD, Asa, Betsey, W15749, MA & NY Line, wid appl 12 Jul 1837 Onandaga Co
NY, sol lived at Hillsdale in Albany Co NY (which later became Austerlitz in
Columbia Co NY) at enl, sol was b 7 Mar 1756 & wid was b 16 Apr 1761, sol m
Betsey daughter of Cornelius Hamlin on 11 Feb 1779 at West Stockbridge MA,
sol d 20 Aug 1829 at Watson in Lewis Co NY & wid d 10 Aug 1847 at Lysander in
Onandaga Co NY, a son Henry Gould made aff'dt 6 May 1852 aged 46 a res of
Cherry Valley in Otsego Co NY, children were; Cornelius b 18 Jun 1780,
Matthew b 8 Sep 1782, Mary b 12 Sep 184, Jonathan b 3 Apr 1787, Ira b 27 Mar
1789 & d 29 Aug 1793, Lydia b 21 Jun 1791 & she m Daniel McCollom, Cyntha b
21 Oct 1793, Hannah b 13 Aug 1796, Phebe b 1 Jan 1799 & she m a Bennett,
Arminda b 25 Aug 1801 & she m a Streeter & Henry b 19 Mar 1806.
Massachusetts, Births and Christenings
Citing this Record "Massachusetts, Births and Christenings, 1639-1915," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/FCQP-DYP
Bette Hamlen Female
birth date: 16 Apr 1761
birthplace: SPENCER TWP,WORCESTER,MA
father Cornelius Hamlen
mother's name: Hannah
