From the OHSAA web-site:
2. RESIDENCE
A student is eligible at the school located in the OHIO school district where the parent or legal guardian resides when all other eligibility standards are met. If your parent/legal guardian lives outside of Ohio, you are not eligible unless you meet one of the exceptions to the residency bylaws. When there has been change of custody, the student must reside in the same school district with the legal guardian.
So it would seem that, in general, to play in Ohio you must live in Ohio.