Do you mean "My wife's waters have broken"? That is what happens shortly before a woman goes into labour and starts to actually give birth. It's not "her bag of water has been broken".
My wife's waters have broken. (Present perfect)
My wife's waters had broken. (Past perfect)
When your child is older, you might say something like "Your mother's waters broke while we were in the supermarket. We drove straight to the hospital and you were born just three hours later".
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