If your husband's military HOR/SLR is New York, then his military pay is not subject to GA income tax and GA income tax should not have been withheld from his pay.
Look at his military W-2. GA should not appear in Box 15 and there should be no GA tax withheld in Box 16. The mailing address at which he received the W-2 is irrelevant.
If there are no GA withholdings in Box 16, and if his only income in GA was his military pay, then there is no need for him to file a GA tax return.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
