Hello....I'm a dentist so let me chime in from "the other side".
Believe me, that endodontist is feeling BAD! No one likes to make a mistake like that, but it does happen occassionally. Luckily only VERY occassionally. Often the mistake happens if a rubber dam is being used and the assistant puts it on the wrong tooth, but whatever, it happened and can't be undone now no matter how much everyone involved wishes there was a "rewind" button on life. He will do whatever is necessary to make things right for your wife.
First, enjoy the rest of your vacation. Don't stress. You can take care of this when you get home. Once the tooth (#14) is crowned, your wife should have no further problems with it.
Once you get home, get a quote from your dentist on the work that will be needed on #14 (the one that didn't need the root canal and got it done anyway). Simply send a copy of that with a note asking that the endodontist to forward you a check for that amount. He will do it, guaranteed. I would also just ask if he would agree to take care of the financial end of any further treatment that might be needed on #14 (he will also agree to this, but I think it's HIGHLY unlikely anything more will be needed).
All will be well. Enjoy your vacation.