There are 2 main remdies for Vitiligo in most of the reps - sepia and Thuja but in my Murphy's rep I think there are 18 . This is all off the top of my head as I am away from home at the moment. But the correct remedy for your child will have to be established on her as an individual rather than a symptom. She needs to see a professional classical homeopath who will take a full case and prescribe on this.