Ohio Rev. Code § 513.13
The board of elections of the county in which a joint township hospital district, or the most populous portion of such district, lies shall, by resolution approved by a two-thirds vote of the joint township district hospital board, place upon the ballot for submission to the electorate of such district, at the next primary or general election, occurring not less than ninety nor more than one hundred thirty-five days after the request is received from such joint township district hospital board, the question of levying a tax, not to exceed one mill outside the ten-mill limitation, for a period not to exceed five years, to provide funds for the payment of necessary expenses incurred in the operation of hospital facilities or, if required by agreement made under section 140.03 of the Revised Code, for costs of hospital facilities or current operating expenses of hospital facilities, or both. Such resolution shall be certified to the board of elections not later than four p.m. of the ninetieth day before the day of the election. If a majority of the electors in such district voting on the proposition, vote in favor thereof, the county auditor of each county in which such district lies shall annually place a levy on the tax duplicate against the property in such district, in the amount required by the joint board of trustees of the district, but not to exceed one mill.
R.C. § 513.13