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Dear nc daddy 86 - Since you are married and, I assume, there are no court orders with respect to your son then each of you has a right to your child. If she chooses to keep him in GA you would have to file a court action to get him back. It is up to you whether you want to let him travel but he will be out of NC jurisdiction so you would have to go to GA to get him back.
Unless you file for a divorce or legal separation and get a court order of custody you have nothing to enforce in a court of law to retrieve your son. Once you have a legal order of custody then you can enforce that in all states pursuant to the Uniform Child Custody laws. You will be taking a risk if you let him go without a court order of custody.