Not excusing her being late by any means, but is she late because she perceives you dont need her until you actually leave the house? So if you asked her to start at 8 but you actually leave at 8.30 and she is there before 8.30? Or is she late where you are then late getting to work?
I am asking because if you need to leave at the time she arrives I would tell her she needs to be there 20 mins earlier from now on. If she is continually late you may need to find someone else.
If she is late because she feels you are handling the mornings and she is kind of twiddling her thubbs until you leave then you need to have a talk about what she needs to get done once she walks in the door.