We were going through my soon to be fiance's medical records, her procedure said they were cauterized and such...

How successful are the reversals?

Her's was done about 6 years ago

VIP Questions About Tubal Reversal - Tubal Ligation Reversal
This is just one of many sites that came up while I was googling it.
My Mother and Father in law did this and it was completely successful! :)
17 years later and off to college this fall.
No matter what, good luck!