Honestly, I think the best thing to do and to tell her would be to make sure that you always carry identification with you so that people can be notified in the event of an accident if you can't give them that info.

Just last weekend, I was hit by a car while out on a ride. While I was generally OK other than some nasty cuts and bruises, had I not been able to give the police my wife's contact information, that would have presented a different story. Stupidly, I wasn't wearing my Road ID, but I will be from now on every single time.