Ohio Rev. Code Ann. § 3513.30
(A)
(1) If only one valid declaration of candidacy is filed for nomination as a candidate of a political party for an office and that candidate dies prior to the tenth day before the primary election, both of the following may occur:
(b) Any major political party other than the one whose candidate died may select a candidate as provided in division (A)(2) of this section under either of the following circumstances: