My name is the same for all accounts. You don't have to give your address. You can give any birthdate you want, as you so well know.

All you need is a different email address for each account. The rest can be all the same, but never, NEVER, give your address, driver license, social security number, etc.

I have a fake first name on Facebook. My friends know how to find me.
Facebook, like any social site, is not a place to expect any privacy. Facebook isn't going to sell or do anything awful with your private info, but there are countless apps, like all those quizzes, that are NOT Facebook, and the second you use one, you are giving them ALL of what is in your profile!

I told you above that she has to find the 'not you?' link at login, in order to start a new account on her own computer, but you chose to ignore that. Hey, doesn't bother me.