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

Solomon was born after 1759.1   Solomon'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, William, John, Reuben, Esther, Ann and Abby.  He was the 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