When it comes to child custody cases, a handwritten agreement is not enforcible. She would need a court order giving her primary custody of the child and authorizing relocation. Without a court order it is unlikely she will be charged with custodial intereference because there is nothing limiting or restricting each parents rights to the child. But as you said the father can then file asking for custody in PA and can force her to bring the child back to the father and she runs the risk of losing primary custody of the child if she is considered a flight risk given the fact she did not inform the father she was leaving. It would be best if she could resolve custody/visitation issues formally with the court before she decides to leave and not tell the father.
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