She said exactly what she needed to say — that the CoLB took place in Hawaii, not the birth itself. See? Truth wins out again. ;’)
More to the point, she is talking about a Certification of Live Birth, not a Certificate of Live Birth, and that "Certification" has been proven to be a forgery by Polarik.
You are correct when you indicate she did not say that the birth itself took place in Hawaii, although she thought that was what she was saying. In other words, you might say that her clumsiness with the language defeated her attempt at trickery.