Ohio Rev. Code § 3375.201
The taxing authority of a subdivision maintaining a free public library which is providing approved library service and whose board of library trustees therefore is qualified under section 3375.20 of the Revised Code to request the formation of a county library district shall, upon receipt of a petition signed by not less than ten per cent, or five hundred, whichever is the lesser, of the qualified electors of the subdivision voting at the last general election, adopt a resolution providing for the submission of the question, "Shall the free public library of the subdivision become a county district library?". The taxing authority shall cause a certified copy of it to be filed with the board of elections of the county prior to the ninetieth day before the day of the election at which the question will appear on the ballot. The board of elections shall submit the question of the creation of such county district library to the electors of the subdivision maintaining said free public library at the succeeding November election.
If a majority of the electors, voting on the question of creating such county district library, vote in the affirmative, the board of trustees of the library and the taxing authority of the subdivision shall establish a county library district in the manner prescribed in section 3375.20 of the Revised Code, by adopting and approving the resolution so authorized.
R.C. § 3375.201