IMO, the world is smaller than we think. I'd offer the 2 weeks, simply for the sake of a professional reputation. Maybe they'll respond that a week is fine. Also, tell her to do something dumb like buy a box of donuts for everyone on her last day. Sugar makes people think good things about you.
Congrats on her new offers by the way- getting a better job is a fantastic time in life. A happy wife means a happy you. Enjoy!