Comment finding the right medical team... (Score 4, Informative) 552
I am not a physician. I am a neurobiologist. I work mostly on motor control. (And I teach neuroanatomy, though atm only at an undergraduate level.)
First things first. It's darned early days in all of this, and recovery from brain injuries is often fairly unpredictable. Even if she doesn't get significantly better - which may be fairly likely, and I don't have enough information to comment - what's hard now will likely become easier via repetition.
I'll generally agree with the comments that you're probably going to be better off dealing with specialists than trying to get a commerical EEG type device to serve in its place. Though down the road, it might make for an interesting project (and increasingly there are cool things being done with consumer hardware.) The expensive proprietary devices may or may not be optimal... but let everyone catch their breath first.
Where I think some research could benefit you all a lot is making sure she's seeing the right specialists. Getting in touch with the right people at your local academic hospital - which might, down the road, turn into your not so local academic hospital - is, long term, probably the most useful thing. As other people have mentioned, rest and support can be more useful than trying to fix everything right now. But if you're going nuts looking for options, see if you can start figuring out who, reasonably local, has a serious background in this type of injury, and see if you can get them to look over her MRIs. It can be pretty easy to end up sticking with a suboptimal doctor out of inertia. Asking questions and calling around can really end up being the thing that makes the difference in the long run. (And here I speak from personal experience from my own history of spine injury.)
If you'd like help navigating the process, drop me a note.