Hard Nut to Crack: John Jones of Enfield NH

Here is what I have on John Jones (not much).

1) We know that J. Wyman Jones' father was John Jones from Enfield NH (born and died) who was married to Ruth Arven/Arvin. 1

2) A John Jones, Esq., of Enfield had a daughter, Maria Cordelia Jones, who married Jonathan Everett Sargent Nov 29 1843, 2 issue. 2 3 4 5 6 7 8

3) A John Jones of East Enfield was elected the first captain of an artillery company that was organized in 1820. 6

4) John Jones of Enfield married Ruth Arvin (b. Mar 27 1795) of Canaan and had the following issue: Mary C., m. Hon. J. Everett Sargent; one son, John, d. young; Emily, m. ____ Foster 6
I recall seeing somewhere that John Jones supposedly spent some time as a community elected official on the state level. I need to vet this information.