Ohio Rev. Code Ann. § 3119.30
(B) The child support obligee is rebuttably presumed to be the appropriate parent to provide health insurance coverage for the children subject to the child support order. The order shall specify that the obligee must provide the health insurance coverage unless rebutted pursuant to division (B)(1) of this section.
(1) The court or child support enforcement agency may consider the following factors to rebut the presumption when determining if the child support obligor is the appropriate parent to provide health insurance coverage: