In general I'm opposed to governments billing for rescues. I think the only result would be that people will get in trouble and not call for help.
I don't put this in the same category as Balloon Boy. That was a pure stunt founded on an outright lie. Here, this girl would really have accomplished a feat if she had made it.
It really isn’t the same as balloon boy, he wasn’t in the balloon. His parents drew the line at endangering their child.