It sounds as if your little girl has a scalp infection caused by a fungal infection. This is known as 'tinea capitis'. It is difficult to treat but responds well to a medicine called Griseofulvin syrup which has to be taken once a day for 6 weeks. It is important not to miss a single day of treatment. You will need a prescription for the Griseofulvin so you will have to take your daughter to see a doctor.
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