Yes, this is correct. For Virginia, this is the way you can get the taxes back. You will need to send in a copy of the W-2, and then some statement that shows where your work location and your residence is so that they see that it is not Virginia income. For this, you can use VA Form 763-S, which you can find on this link: http://www.tax.virginia.gov/sites/default/files/taxforms/individual-income-tax/2016/763-s-2016.pdf. You will get the taxes back.
Mailing your return in will probably be the best option since if Virginia doesn't see the proof they will probably ask for it.
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