No, you do NOT need to file a Maryland tax return. You should, however, include it on your Federal tax return to see of it's taxable.
"If you are a nonresident, you are NOT required to file a Maryland return if: You had no income from Maryland sources."
2025 Nonresident Tax Forms & Instructions (pg. 2)
Form 1099G is an information return required by the IRS. The form is filed by the states for state income tax refunds issued to taxpayers for an amount greater than $10 and who itemized on their federal return for the previous calendar year.
Comptroller of Maryland website.
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