To clarify-
Was your wife a resident of Ohio or New York when she received unemployment?
If she was a resident of Ohio, the unemployment (paid by any state) would be claimed and taxed by Ohio.
That may be the reason you are getting the credit, and if that is the case, you also need to pay the state tax on that unemployment income.
If she was a New York Resident, the unemployment would be claimed, and taxes paid, to New York.
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