(A) If a support order entitled to recognition under this chapter has not been issued, a responding tribunal of this state with personal jurisdiction over the parties may issue a support order if either of the following applies:
(1) The individual seeking the order resides outside this state.
(2) The support enforcement agency seeking the order is located outside this state.
(B) The tribunal may issue a temporary child-support order if the tribunal determines that such an order is appropriate and the individual ordered to pay is any of the following:
(1) A presumed father of the child;
(2) Petitioning to have his paternity adjudicated;
(3) Identified as the father of the child through genetic testing;
(4) An alleged father who has declined to submit to genetic testing;
(5) Shown by clear and convincing evidence to be the father of the child;
(6) An acknowledged father as provided by section 3111.20 to 3111.35 of the Revised Code;
(7) The mother of the child;
(8) An individual who has been ordered to pay child support in a previous proceeding and the order has not been reversed or vacated.
(C) Upon finding, after notice and opportunity to be heard, that an obligor owes a duty of support, the tribunal shall issue a support order directed to the obligor and may issue other orders pursuant to section 3115.305 of the Revised Code.