N., PLEASE go in there and talk to her about this. Dying intestate is the worst thing she could do. She needs to call a lawyer in to help her. At the very least, she needs to get papers and sign them in front of a notary and some witnesses.
Please don't pussyfoot around this. Hospital staff infections are terrible things, and if she is okay after all this, it will just have been a scary time and close call. However, if she doesn't make it through this, you will have done a wonderful thing for her daughter.
Approach it kindly, but head-on. Don't mince words. If she says she has a will, ask her where it is. Ask her if she has a document on file in case she goes into a vegetative state. The hospital can help her with that.
This is too important to ignore. It doesn't matter that it isn't your "business". You have to go past the idea that it isn't your "business".
Good luck, and I truly hope your friend makes it through this.
Dawn