You will report them in Virginia.
Virginia and West Virginia have state reciprocity. This means that you only have to pay taxes on income from the other state within your resident state. Since you lived in Virginia when you started receiving your unemployment income, it will be taxed within Virginia.
State reciprocity
You will still need to file two part-year resident tax returns as you did reside in both states. Be sure to only report the income you earned in West Virginia on that state tax return while you were a resident of West Virginia.
Unemployment compensation is taxable.
Unemployment taxes
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