These scaly patches over scalp could be due to seborrheic dermatitis or psoriasis or a fungal infection
. The diagnosis could only be confirmed after a skin examination by a dermatologist
However, in the meanwhile, you may use a ketoconazole
tar based or ketoconazole salicylic acid
based shampoo to clean her scalp every alternate days. Do not try to remove the scales as it would lead to raw oozing lesions.
Hope that answers your query. Take care.