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

Caleb was born on August 8th, 1711.1   Caleb's father was Benjamin Lyman and his mother was Thankful Pomeroy.  His paternal grandparents were John Lyman and Dorcas Plum; his maternal grandfather was Medad Pomeroy. He had eight brothers and three sisters, named Joseph, Benjamin, Aaron, William, Daniel, Elihu, Medad, Benjamin, Eunice, Hannah and Susannah.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