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Male William Lyman Click to view William Lyman in the family tree

William was born on September 5th, 1764.1   William's father was William Lyman and his mother was Mary Barker.  His paternal grandparents were Jonathan Lyman and Bethia Clark. He had three brothers and five sisters, named Jonathan, Asa, Joseph, Molly, Sarah, Elizabeth, Clarissa and Lydia.  He was the second oldest of the nine children.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