Thank you for your reply. I am now of the conclusion that Hamilton Shoaf's date of birth is incorrect on his death certificate. In the 1900 census it lists his month and year as August 1880 not 1882. He also appears in the 1910 and 1920 censuses with date of 1881 as year of birth. I do believe he is the son of Martha Proctor/not Martha Conrad. If he was truly born in 1880 then we must assume he is Proctor's son.