Ohio Rev. Code § 3505.09: Separate ballots for each precinct and district.

In election precincts composed of a township or a part thereof, and a municipal corporation or a part thereof, separate ballots for each precinct shall be provided for all elections, so as to enable electors residing in such precincts to cast their votes for the proper candidates in such precincts. Separate ballots shall be provided for each district portion of each precinct which shall contain the names of the candidates for members of the board of education for whom the electors residing in such district are entitled to vote. In the case of overlapping school districts, the ballots shall be so printed as to plainly identify each district for which candidates are to be chosen.