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Male William E. Lawrence Click to view William E. Lawrence in the family tree

William E. was born in 1848.1   William E.'s father was George Lawrence and his mother was Jacobina Barnes.  His paternal grandparents were George Lawrence and Mary Eddy. He had four brothers and seven sisters, named Amos B, George, James, Laban, Mary Jane, Elisabeth, Jacobina, Clarissa, Emily, Ploma and Jenny.  He was the fourth youngest of the twelve children.1 

1 phelps.FTW @ Tree #0841
Further sources/citations:
World Family Tree Vol. 3, Ed. 1 @ Tree #0841, 0841.ftw @ Tree #0841