KY has a specific form (740 NP-R ) for a reciprocal state refund. Rather than paying TurboTax for KY software, you should try filing that form by hand. It looks pretty simple.
https://revenue.ky.gov/Forms/740-NP-R%20Kentucky%20Individual%20Income%20Tax%20Return%20(Nonresident....
The reciprocity agreement does not apply to local city taxes. You can not get those refunded, but if you live in an Ohio city with a tax, they may give you a credit or partial credit. Many do. You need to check with your city.
