It's a long shot, since this was an Ohio family, but you may want to investigate the possibility that these are his parents:

Addison MURDOCK married Ruth PIERCE

Addison MURDOCK
Born: 6 Oct 1821 in OH
Married: 21 Jan 1849
Died: 26 Apr 1881 in OH
Father: James MURDOCK
Mother: Susannah AKERS
Spouse: Ruth PIERCE

{Note that Addison had a brother named Harrison.}

Children of this marriage are "unknown".