Legal Question in Family Law in North Carolina

Depends on what your Separation Agreement says - if you have one. If you don't have a separation agreement or if you do but the agreement is silent on the issue of taking the child out of state, then your wife can take the child where ever she wants with or without your consent (and so could you for that matter). You need to consult with a family law attorney ASAP and get some form of temporary custody in place or at least an injunction to prevent wife from leaving with the child.