Where are you located? What are your expectations of your nanny as far as qualifications (i.e. driving, her/his own car, CPR trained, etc)
We are in Arlington and my impression is that for a legal, driving, experienced nanny I think $18-20 an hour would be the going rate for one infant in this situation (long hours, only a few days, no overtime). But that's just a guess, I know some people who have paid less.