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If you could answer a couple questions that would be helpful
Did you sign the birth certificate, affidavit of paternity or do a paternity test on the child?
Do you have any custody or visitation orders at all?
How long has she been gone?
You have rights as the father, since you signed the birth certificate you have the right to request that she be ordered back to the state until custody/visitation can be determined. This is a petition you will need to file as soon as possible as once she becomes a resident of another state you would be required to petition in that state.
I would advise you to seek legal counsel to begin the process of petition the court for the order to bring her back. If you must go it alone, you will want to go to your local law library and pick up custody forms. Fill them out and submit them to the courts requesting custody of the child. The judge can issue a order requiring her to come back so this can be handled in court.
State law allows her to become a resident for custody issues in 6 months.