Ohio Rev. Code § 3513.15
The names of the candidates in each group of two or more candidates seeking the same nomination or election at a primary election, except delegates and alternates to the national convention of a political party, shall be rotated and printed as provided in section 3505.03 of the Revised Code, except that no indication of membership in or affiliation with a political party shall be printed after or under the candidate's name. When the names of the first choices for president of candidates for delegate and alternate are not grouped with the names of such candidates, the names of the first choices for president shall be rotated in the same manner as the names of candidates. The specific form and size of the ballot shall be prescribed by the secretary of state in compliance with this chapter.
It shall not be necessary to have the names of candidates for member of a county central committee printed on the ballots provided for absentee voters, and the board may cause the names of such candidates to be written on said ballots in the spaces provided therefor.
The secretary of state shall prescribe the procedure for rotating the names of candidates on the ballot and the form of the ballot for the election of delegates and alternates to the national convention of a political party in accordance with section 3513.151 of the Revised Code.
R.C. §3513.15