FamilySearch.com has her name as Nancy Anthony Remington, as does Martha A. Benns in "Remington Family." Nancy is often a nickname for Ann or Anna.
Nancy Anthony Remington, daughter of Teddeman, born Feb 4, 1787, Jamestown.
The death of Ann A. Cornell at age 35 on 18 Aug 1821 was reported in the RI American and Newport Mercury.
Sacred to the Memory / of / Mrs. Ann A. Cornell / wife of / John J. Cornell, / who departed this life / August 18th / 1821./ In the 35 year of her age. / Blessed are the dead which die in/ the Lord. (gravestone is pictured at findagrave.com)