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

William was born after 1722 in Westfield, MA.1   William's father was Stephen Kellogg and his mother was Abigail Loomis.  His maternal grandparents were Nehemiah Loomis and Thankful Weller. He had four brothers and a sister, named Moses, Stephen, Josiah, Nathaniel Loomis and Thankful.  He was the third youngest of the six children.1 

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