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

Eunice was born on February 28th, 1786.1   Eunice's father was Joseph Lyman and her mother was Hannah Huntington.  Her paternal grandparents were Jonathan Lyman and Bethia Clark; her maternal grandparents were Simon Huntington and Sarah. She had three brothers and three sisters, named Joseph, Unkown, Jonathan Huntington, Hannah, Fanny and Bethiah.  She was the youngest of the seven children.  She died in young.1 

1 phelps.FTW @ Tree #1353
Further sources/citations:
World Family Tree Vol. 1, Ed. 1 @ Tree #3310, phelps.FTW, World Family Tree Vol. 4, Ed. 1 @ Tree #2332, 2332.ftw