First, where did you perform the fellowship, and what is your state of residence?
Second, what was the nature of the fellowship? You obtained this through college and it was part of your educational experience?
Your state of residence is where you are domiciled, where you permanently lived in 2019. It might be NY, or it might be your home state if you are a college student and still live at home over the summer (you are considered "temporarily" away from home in that case.)
If your official residence is not in New York state, did you live or work in NYS more than half the year? (183 or more days?)
You will owe income tax either where you performed the work (NY) or where your permanent home is, or both. You won't owe VA tax if your only connection to VA is that is the headquarters of the organization that funded the fellowship.
