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Female Eunice Barnes Click to view Eunice Barnes in the family tree

Eunice was born on August 7th, 1779.1   Eunice's father was Timothy Barnes and her mother was Eunice Munson.  Her maternal grandparents were Solomon Munson and Sarah Peck. She had three brothers and five sisters, named Erastus, Timothy, Munson, Abigail, Sally, Eunice, Phebe and Abigail.  She was the fourth oldest of the nine children.1 

1 phelps.FTW @ Tree #1353
Further sources/citations:
World Family Tree Vol. 4, Ed. 1 @ Tree #0574, 0574.ftw