To add on--
"Vermont Vital Records 1760-1954" found at Familysearch.org has the following:
Nathaniel S. Ayers
m. to Salinda Knight
25 February 1829
If this is your family there is alot of information to be found at Familysearch,-- Vermont records.
Also many family trees on Ancestry.com for Joseph Ayers whose son was Nathaniel Simons Ayers.