You are correct, Ohio owes you the entire amount they withheld.
Be advised that you may have to use a work around to get TT to prepare the return to get you your refund. At the w-2 screen split the boxes 15-20 W-2 info into 2 lines. On the 1st line leave OH in box 15 but make box 16 blank; leave the OH withholding in box 17. On the 2nd line put your home state abbreviation in box 15 and the state wages amount in box 16; leave box 17 blank..
