Hello LMC1240,
As Scooter1768 stated: "Both VT and PA have the same general rule for residency; that you are a "resident" if you spend more than 183 days in the state. Therefore, it is possible you could be residents of different states and nonresidents of different states and file state tax returns accordingly. "
I've provided a few links below to assist you in determining which state would you be a resident and which would be non-resident.
Do I need to file a nonresident return for an out-of-state employer?
Multiple States—Figuring What's Owed When You Live and Work in More Than One State
How does working remotely affect my state taxes?
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