Why wouldn't it be her problem are you claiming she would Welch on her bills?
Why are you harping on finding out what state she lives in ? Are there States that allow people to not pay their Medical obligations?
States have funds to pay for indigent people's medical bills, so if she can't pay them they will likely be paid for her. It's a form of socialized medicine already, it's just a really dumb form of it.
If she DOES have any money/assets/whatever however, she won't qualify for this assistance until she sells basically all of her assets outside of the essentials to pay them. If she chooses not to, she will be sued for that cash and the hospital will win.