"But IN will give you credit for any tax you pay to OH so you are not double taxed."
Indiana will not grant an "other state credit" for taxes mistakenly withheld for a reciprocal state. Instead, the taxpayer should seek a refund from the reciprocal state. See FAQ #7 in this Ohio tax reference:
https://tax.ohio.gov/help-center/faqs/employer-withholding-reciprocity#:~:text=How%20can%20my%20empl....
Note that reciprocity applies only to wages and salary (W-2) income.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
