A non-resident of New York who actually (physically) performs no work within New York State, not even for a single day, has no tax obligation to the State of New York for the income from that work.
On the other hand, your income is fully taxable by your resident state of Georgia. If no federal or state taxes are being withheld by your 1099 payers, then you must make quarterly estimated tax payments to both the IRS and the State of Georgia.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
