Ohio Rev. Code Ann. § 3115.708
(B) The following grounds are the only grounds on which a court of this state may refuse recognition and enforcement of a registered convention support order:
(9) In a case in which the respondent neither appeared nor was represented in the proceeding in the issuing foreign country either of the following applies:
(C) If a court of this state does not recognize a convention support order under division (B)(2), (4), or (9) of this section, both of the following apply: