I doubt that they can or will cause you any further trouble. Parents usually pay a baby sitter to "watch" their child or children while they're out for the evening. You can't be watching their child if you're asleep, no matter where it was you fell asleep. The 2 year old could have gotten into trouble and injured herself while you were asleep. You have to be more responsible when you're babysitting young children. I'm sure they were disappointed to find you sleeping instead of watching their daughter, that's why they said what they did. If I were you, I'd go to their house and talk to them face to face, and apologize for falling asleep and ask their forgiveness. If you do this and they feel you know what you did was wrong, and won't let it happen again with their child or any other child or children, they will likely give you a second chance at working for them and would likely recommend your services to others. They will get over this. They probably have done similar things since their child was born. Children don't come with a instruction manual, so first time parents find that raising a child is a REAL learning experience nearly every day! Say you're sorry and ask for another chance. You'll be a much bigger person in their eyes than if you just ignore them and forget about this incident. Good luck and I hope they forgive you for this mistake since nothing happened.