Ohio Rev. Code § 3115.211: Continuing, exlcusive jurisdiction to modify spousal-support order.

(A) A tribunal of this state issuing a spousal-support order consistent with the law of this state has continuing, exclusive jurisdiction to modify the spousal-support order throughout the existence of the support obligation.

(B) A tribunal of this state may not modify a spousal-support order issued by a tribunal of another state or a foreign country having continuing, exclusive jurisdiction over that order under the law of that state or foreign country.

(C) A tribunal of this state that has continuing, exclusive jurisdiction over a spousal-support order may serve as either of the following:

(1) An initiating tribunal to request a tribunal of another state to enforce the spousal-support order issued in this state;

(2) A responding tribunal to enforce or modify its own spousal-support order.