Ohio Rev. Code Ann. § 3503.16
(B)
(1)
(2) Any registered elector who moves from one precinct to another within a county or moves from one precinct to another and changes the name of that registered elector on or prior to the day of a general, primary, or special election and has not filed a notice of change of residence or change of name, whichever is appropriate, with the board of elections may vote in that election if that registered elector complies with division (G) of this section or does all of the following:
(a) Appears at anytime during regular business hours on or after the twenty-eighth day prior to the election in which that registered elector wishes to vote or, if the election is held on the day of a presidential primary election, the twenty-fifth day prior to the election, through noon of the Saturday prior to the election at the office of the board of elections, appears at any time during regular business hours on the Monday prior to the election at the office of the board of elections, or appears on the day of the election at either of the following locations:
(C) Any registered elector who moves from one county to another county within the state on or prior to the day of a general, primary, or special election and has not registered to vote in the county to which that registered elector moved may vote in that election if that registered elector complies with division (G) of this section or does all of the following:
(G) A registered elector who otherwise would qualify to vote under division (B) or (C) of this section but is unable to appear at the office of the board of elections or, if pursuant to division (C) of section 3501.10 of the Revised Code the board has designated another location in the county at which registered electors may vote, at that other location, on account of personal illness, physical disability, or infirmity, may vote on the day of the election if that registered elector does all of the following: