Do NOT answer yes to the question about receiving other state income, in the personal info section of TurboTax.
The West Virginia unemployment is not WV source income, for tax purposes. You do not need to do a West Virginia State Income Tax return.
Report the unemployment 1099-G only on your KY return.
This is not a KY-WV reciprocal state issue. This rule is the same in most states (your report unemployment as home state income, not work state).
