Virginia and Kentucky are reciprocal states.
No KY state tax is withheld or due and you do not normally need to file a KY return .But VA will tax you on your KY income.
If KY state taxes are mistakenly withheld, you then have to file a KY return to get a refund. You should ask your employer to stop withholding so you don't have to file a KY return every year.
However the reciprocity agreement does not apply to local city/County taxes. You can not get those refunded. Local withholding is usually shown in box 19 of your W-2. And the name of the city or county in box 20.
