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DearCustomer- In order to terminate support you would have to file a motion with the court that issued the order. Simply the fact that she moved would not automatically stop support however you have a right to know the whereabouts of your child. I will assume that you were not very active in the day to day life of your daughter due to the distance involved so an argument that the mother cannot move might not be too effective.
It is, however, a violation of the custody and visitation order to not supply the address information for the child. You can also petition the child support agency for a correct address since they would have to have it in order to send payments. I'm not certain that your son has anything to do with any of this since you seem to know where he is living.
So, to answer your question, you must continue to pay support until the order is amended by the court which would require a motion on your part. You also have a right to know where your child is living and the fact that she was taken out of the country may be an additional reason for contempt. One problem you will have is that of jurisdiction. If they are in Costa Rica it will be difficult to get her into court.
The Florida court may be sympathetic to your argument and might just suspend the support. You never know until you try.
David Kennett - JD - Attorney at Law