You can only claim one property as homestead. You must be an Ohio resident to claim homestead on the Ohio property " To qualify, an Ohio resident must own and occupy a home as their principal place of residence as of Jan. 1st , for real property or Jan. 1st of the current year for manufactured home property. For individuals who own more than one home, the principal place of residence is the home where the person is registered to vote and the personâ€™s place of residence for income tax purposes."
You also must meet the age or disability qualifications which are " Any Ohio resident homeowner who: Is 65 or turning 65 years old the year they file for Homestead. Is totally and permanently disabled as of January 1, in the year of application as certified by a licensed physician or psychologist, or a state or federal agency; or Is the surviving spouse of a person who was receiving the previous Homestead Exemption at the time of death and where the surviving spouse was at least 59 years old on the date of death."