Mine went something like:
(Father name), by signing this agreement, hereby gives complete consent for (Mother name) to remove (Child name), their (son/daughter), from the United States. Furthermore, (Father name) is aware and understands that (Mother name) and (Child name) will be leaving the United States with the intent of permanent residence in the United Kingdom, and that (Father name) will not purse any form of legal action for the removal of (Child name) from the United States.
There were other clauses in our agreement based upon our individual circumstances, but that was the gist of mine. It was signed by both of us in front of notary. The document was accepted for visa purposes over 7 years ago, so your mileage may vary.
