Ohio Revised Code Title XXI. Courts Probate Juvenile § 2105.26

(A) If the probate court determines the following, it shall issue the order requested under section 2105.25 of the Revised Code declaring the man alleging himself to be the father of the adult child to be the adult child's father:

(B) As part of the order, the court shall order the adult child's birth certificate to be changed to designate the man as the adult child's father.

(C) After issuance of an order under this section, the adult child shall be considered the child of the man declared to be the father as if born to him in lawful wedlock, except that the adult child and the adult child's mother shall not be awarded child support from the man for the time the adult child was a minor.