There is another possible wrinkle:
Did you work remotely for your NY employer after your move to New Hampshire? If you did, and if you worked remotely for your own convenience rather for the convenience of your employer, then your remotely-earned income would be considered NY-sourced and would be taxable by NY. This is known as New York's "Convenience of the Employer" rule. The rule is explained in detail in this NY tax reference:
https://www.tax.ny.gov/pdf/memos/income/m06_5i.pdf
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
