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

Joel was born on June 21st, 1769.1   Joel's father was Samuel Lyman and his mother was Sarah Bartlett.  His paternal grandparents were Enoch Lyman and Dinah Smith. He had two brothers and two sisters, named Samuel, Isaac, Ruth and Irene.  He was the second youngest of the five 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