State tax filing

You can file an Ohio IT 1040 to request a refund of the incorrect OH withholding.  After you enter your W-2 and finish your federal return, start the OH return. You will reach a screen Reciprocity Wages, and you will enter the Compensation that you earned in OH while you were a resident of PA. At that point, you will receive all of your withholding back as a refund. However, if there was no withholding for PA, you will owe tax to your resident state.