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

David was born on December 14th, 1737.1   David's father was Benjamin Lyman and his mother was Mary Mosely.  His paternal grandparents were Benjamin Lyman and Thankful Pomeroy. He had three brothers and four sisters, named Benjamin, Lemuel, Solomon, Thankful, Esther, Martha and Mary.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