You aren't actually asking the court to modify the Settlement Agreement since it has been entered by the court and has now become a part of the court's order. You are going to have to file a Motion to Modify the Order and 1) allege that she has remarried but you are going to need some kind of evidence to back that up or 2) ask the court to make the order for a year at a time with the burden on her to come back and ask to extend the order.

Your problem is going to be that there isn't any mechanism to "require her to prove that she hasn't remarried" since that requires that a court keep a file open and revisit the issue periodically. Doing it the way I suggest in #2 solves all the issues. For the grounds to support it you are going to have to have a material change in circumstances and you can claim that the move to France prevents you from verifying she is not married.

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