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Male Gideon Alvord Click to view Gideon Alvord in the family tree

Gideon was born on June 12th, 1734 in South Hadley, MA.1   Gideon's father was John Alvord and his mother was Dorcas Lyman.  His paternal grandparents were Thomas Alvord and Joanna Taylor; his maternal grandparents were John Lyman and Mindwell Sheldon. He had six brothers and three sisters, named John, Saul, Gad, Jeb, Nathan, Elijah, Mindwell, Esther and Dorcas.1 

1 phelps.FTW @ Tree #0105
Further sources/citations:
World Family Tree Vol. 3, Ed. 1 @ Tree #0105, 0105.ftw @ Tree #0105