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

William was born on December 7th, 1755.1   William's father was William Lyman and his mother was Jemima Sheldon.  His paternal grandparents were Benjamin Lyman and Thankful Pomeroy. He had four brothers and three sisters, named Cornelius, Asahel, Levi, Samuel, Rachel, Jemina and Submit.  He was the second oldest of the eight 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