Her father's will dated January 1836, proved August 1837, mentions his daughter Lydia Arnold, widow of Olney Rice Arnold, and gives her real estate in Dudley, Worcester County, MA, and the household goods that were her mother's, Nancy Remington dec'd. Whether he meant that Nancy was her biological mother is not certain.
[S012801] James N. Arnold's Vital Record of RI, Vol. X, 217.
"Congregational Church West Side of the River, Benjamin Remington of Warwick, son of Thomas, and Lydia Manchester, daughter of Matthew, November 25, 1787"
[S012451] James N. Arnold's Vital Record of RI, Warwick -- Marriages, 8 & 97.