Work in WV, live in KY but received unemployment. Will I get a tax credit to the state of KY for paying WV taxes on unemployment?

I entered the information on turbotax. WV did not withhold state tax but it did federal for my unemployment. I did a non-resident return and it calculated state tax (I think). It is now showing a refund in KY and that I owe in WV. Is that correct? I'm a little confused by it.