If your State of Legal Residence is WV, then your military income may be subject to WV taxation if you spent more than 30 days of the tax year in WV.
Also, if you have source income from WV other than your military income (such as rents, royalties, etc.),
you may be subject to WV tax on that income.
http://tax.wv.gov/Documents/TSD/tsd443.pdf
**Answers are correct to the best of my ability but do not constitute tax or legal advice.