I think I have found the family for Arthur. His father's name was John H Graham who may be a settler in 1854 of Lynxville, Crawford, WI. According to a history of the area, Elmer and John were settlers with Elmer staying and d. there in 1873. John on the other hand left by 1857 and may be the lawyer John with wife Anne and son Arthur H in Nelson, Buffalo, WI. John was in the 18th Wisconsin Infantry in the Civil War and must have died before his wife m. William Church Hodges in Livingston, MI. She m. Hodges before 1871.
I am looking for evidence of John H Graham's death either in Buffalo, WI or in the Civil War. Any help would be appreciated. (As his widow, Anna Jane Dibble Graham's family was living in Livingston, I wonder if any news of John's death would be found in Livingston.)