The following are some of the information/records I had located (via Ancestry Sharable Links). Many/most of them include actual documents.
New Hampshire, Birth Index, 1659-1900:
https://www.ancestry.com/sharing/21749558?h=c63ca6
Find-A-Grave Memorial:
https://www.findagrave.com/memorial/104297477
New Hampshire, Wills and Probate Records, 1643-1982:
https://www.ancestry.com/sharing/21749582?h=334a2b
Regarding the parents... I think that the mother's nickname was "Anna", but her actual first name was either "Susanna" or "Susannah".
I had located the following (possible/likely) information in regards to the parents (via Ancestry Sharable Links).
New Hampshire, Birth Index, 1659-1900:
https://www.ancestry.com/sharing/21749918?h=30d6ba
New Hampshire, Marriage and Divorce Records, 1659-1947:
https://www.ancestry.com/sharing/21749928?h=265781
New Hampshire, Marriage and Divorce Records, 1659-1947:
https://www.ancestry.com/sharing/21749936?h=ea94eb
New Hampshire, Birth Index, 1659-1900:
https://www.ancestry.com/sharing/21749953?h=c1fc7f
New Hampshire, Death and Disinterment Records, 1754-1947:
https://www.ancestry.com/sharing/21749972?h=475fcf
New Hampshire, Death and Disinterment Records, 1754-1947:
https://www.ancestry.com/sharing/21749982?h=81b29b
You should always keep in mind that, when it comes to dated information (and such), individuals with certain common & very uncommon names are typically used/documented with a Nickname, Abbreviated Name, Shortened name, etc...
Just "for example"... I've seen names like "John" being documented as "Jno" and "Samuel" being documented as "Saml" as well as "Susanna/Susannah" being documented as either "Susan" or "Anna" (just to name a few).
I can't state for certain that the above information for the parents are 100%, but based upon what I had personally found, those appear to be them as well as dates & locations jiving with the events.
I hope this was helpful for what your looking for and I had explained this okay via text... :-P
I do wish you the best of luck with your Ancestry/Genealogy search!
~Brian Kerr
