Private Henry Smith served with New Hampshire Militia during the American Revolution.
Henry Smith is an NSSAR Patriot Ancestor. NSSAR Ancestor #: P-292021 Rank: Private
Buried in Joshua Lane Burial Ground, Tilton, Belknap County, New Hampshire. 
Henry was born in 1760. He passed away in 1842.
↑ Find A Grave: Memorial #83351501] in Joshua Lane Burial Ground, Tilton, Belknap County, New Hampshire, USA. Transcription error of gravestone. It says he died in 1842 aged 89 which would make his birthyear 1751, as noted in the Upstream article.
Massachusetts, Town Clerk, Vital and Town Records, 1626-2001," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:QG1K-CPMK : 18 October 2022), Henry Smith, 14 Dec 1760; citing Birth, , Massachusetts Secretary of the Commonwealth, Boston; FHL microfilm 007009724.
United States Revolutionary War Pension Payment Ledgers, 1818-1872," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:Q24Q-LLBZ : accessed 28 February 2023), Henry Smith, 04 Mar 1831; citing New Hampshire, United States, NARA microfilm publication T718 (Washington D.C.: National Archives and Records Administration, 1962), roll 8; FHL microfilm 1,319,388.