" Does her case hold water?

Of course not. Did a 2 year old sign a lease? How much electricity would a 2 year old use?

"Do I have any recourse?"

In all honestly, likely not. You could, of course, sue the girlfriend for the difference but, really, it doesn't seem worth it to go this route. If you can't afford the electric and water bills you probably need to rethink being a renter.

Gail