Lydia Cole, b. ca 1784

I am seeking information on Lydia Cole, who, according to the 1850 census in Collins, Erie Co., NY, was born about 1784 in Massachusetts. She married Increase Rudd on 10 July 1801 in Middletown, Rutland Co., VT, both of Middletown. They are both buried in the Shaw Cemetery in Erie Co., NY. She died about 1857, but her stone has been broken and in mending it, most of the information is missing. Increase Rudd died 24 Mar. 1872 in Collins, Erie Co., NY, age 92y 2m 4d. He was born in Middletown, VT on 25 Jan. 1780, son of Silas and Phebe (Herrick) Rudd.

Does anyone have information on the family of a Lydia Cole born about 1784, possibly in MA?