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Male William D. Lyman Click to view William D. Lyman in the family tree

William D. was born on May 19th, 1823.1   William D.'s father was Asa Lyman and his mother was Sarah R. Davis.  His paternal grandparents were Richard Lyman and Philomelia Loomis. He had four brothers and four sisters, named Richard, Asa, Roswell K., George, Ziba H., Sarah, Mary A. and Clarissa.  He was the second youngest of the nine children.1 

1 phelps.FTW @ Tree #1353
Further sources/citations:
World Family Tree Vol. 1, Ed. 1 @ Tree #3310, phelps.FTW, World Family Tree Vol. 4, Ed. 1 @ Tree #2332, 2332.ftw