Just curious, but why is she legally required to do that? I understand why she would as a safety precaution, of course.
See, "real name" means "the name which is actually yours". The set "real name" and "name that looks good to Facebook" are different, intersecting sets.
If you want to evade a stalker, you can use a fake name which looks good to Facebook: a "realistic" name, let's call it.
On any web site that insists on banning certain names, you can easily pick a name that is not banned, yet that is not your real name.
Then again, maybe things aren't quite as dramatic as incinuated :>
(2) That there are other ways of staying in touch with friends
(3) That given the situation, if everything is in fact true, it seems the wrong compromise has been made. Maintaining the safety of your family should trump being able to always have someone/something to chit chat with.
I do not use my "real name" on Facebook, or elsewhere online apart from in a professional capacity, and this is precisely the way I want it. If you know only my real name, not the one I have been using for the last 10 years, then you are not someone I want to be in contact with.