Anna was born in Coventry, Connecticut.
Note than an Anna or Ann Hunt appears in the 1810,1820, and 1830 census as the head of a household in Coventry. Presumably this is her mother.
Shortly after his first wife died, on December 1, 1821, Anna married John Gilbert in Norwich, Connecticut.
(According to the marriage record  the exact marriage date was 18 Dec 1821, and it is Hartford, CT.)
According to this Internet source she is the daughter of Ebenezer Hunt (the namesake of her son) and Ann Strong. Ebenezer Hunt was born July 2, 1766, in Coventry, CT. He was the son of Eliphaz Hunt and Hannah Stiles. Eliphaz was born January 25, 1738 or 1739, in Coventry, the son of Simeon Hunt and Hannah Lyman. Simeon Hunt was born November 13, 1713, in Northampton, Mass., the son of Ebenezer Hunt and Hannah Clark. Ebenezer Hunt was born February 27, 1674 or 1675, in Northampton, Mass., the son of Jonathan Hunt and Clemence Hosmer. Jonathan Hunt was born in 1637 somewhere in England. Clemence Hosmer was born about 1643 in Hartford, CT, the daughter of Thomas Hosmer and Frances Bushnell. Thomas Hosmer was born February 1602 or 1603 in England. Frances Bushnell was also born about 1602 in England.
She died in Mansfield, CT, and is buried in the Cemetary on the U. Conn campus.
According to Becky Syphers:
She went by the name of Nancy. She was one of 4 or 5 siblings, including a sister Hannah. At lest one of her step daughters was older than she was. I have read John Gilbert's will where he specfied which room in his house which child was to inherit. Interesting family dynamics. His house was on what is now the UCONN Campus and in use until the 1980's.
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