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Male William Barnard Click to view William Barnard in the family tree

William was born after 1755.1   William's father was Moses Barnard and his mother was Anna Loomis.  His maternal grandparents were Solomon Loomis and Abigail Strong. He had six brothers and three sisters, named Francis, Jonathan, Moses, John, Reuben, Solomon, Esther, Ann and Abby.  He was the fifth youngest of the ten children.1 

1 phelps.FTW @ Tree #0105
Further sources/citations:
World Family Tree Vol. 3, Ed. 1 @ Tree #3669, 3669.ftw