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

Daniel was born on July 13th, 1753.1   Daniel's father was Daniel Lyman and his mother was Eleanor Fairchild Benedict.  His paternal grandparents were Benjamin Lyman and Thankful Pomeroy. He had two brothers and a sister, named Roswell, Elihu and Sarah.  He was the oldest of the four 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