Ohio Rev. Code Ann. § 3111.03
(A) A man is presumed to be the natural father of a child under any of the following circumstances:
(2) The man and the child's mother attempted, before the child's birth, to marry each other by a marriage that was solemnized in apparent compliance with the law of the state in which the marriage took place, the marriage is or could be declared invalid, and either of the following applies:
(C)