Ohio Revised Code Title XXXI. Domestic Relations Children § 3107.06

(1) The minor was conceived or born while the father was married to the mother;

(2) The minor is his child by adoption;

(3) Prior to the date the petition was filed, it was determined by a court proceeding pursuant to sections 3111.01 to 3111.18 of the Revised Code, a court proceeding in another state, an administrative proceeding pursuant to sections 3111.38 to 3111.54 of the Revised Code, or an administrative proceeding in another state that he has a parent and child relationship with the minor;

(4) He acknowledged paternity of the child and that acknowledgment has become final pursuant to section 2151.232, 3111.25, or 3111.821 of the Revised Code.