No. You will only need to fill a VA resident state income tax return.
WV and
VA have what is called a state reciprocal agreement. This allows nonresidents
to not have state withholding taxes taken out for wages earned in
the state.
Therefore, if your only source of WV income is wages, you will have no WV state income tax filing requirement. You will report all your wages on your VA resident state income tax return.
