This is a hard one, though, because I suppose other parents would say let her know early that you're in charge. But as I say, I was a little nuts. They say never get in a power struggle with a teenager, and every time you set down a rule, you are asking for a power struggle. I would not ground her. Grounding is just a power thing.
Kids just get mad and wait it out, and then go out again.
It is nice to have them around while they're grounded, though. There are no hard and fast rules here. You try this thing and that, see what works with your child. Get the two of you focused on a third thing. Maybe get them to volunteer at a shelter.