Ohio Rev. Code Ann. § 3115.205
(A) A tribunal of this state that has issued a child-support order consistent with the law of this state has and shall exercise continuing, exclusive jurisdiction to modify its child-support order if the order is the controlling order and either of the following applies:
(B) A tribunal or support enforcement agency of this state that has issued a child-support order consistent with the law of this state may not exercise continuing, exclusive jurisdiction to modify the order if either of the following applies: