Ohio Revised Code Title LVIII. Trusts § 5817.04

(1) The probate court of the county in this state where the testator is domiciled;

(2) If the testator is not domiciled in this state, the probate court of any county in this state where any real property or personal property of the testator is located or, if there is no such property, the probate court of any county in this state.

(1) The probate court of the county in this state where the settlor resides or is domiciled;

(2) If the settlor does not reside or is not domiciled in this state, the probate court of the county in this state in which the trust's principal place of administration is located.