May I know if the doctor you went to was a dermatologist? only a shampoo will not help your child. Your child seems to have cradle cap... type of seborrhoeic dermatitis. Steroid based anti fungal lotions and shampoos will help. These are Prescription medicines and should be advised only by a DERMATOLOGIST. At 1 years you should be extra cautious and take the child to a dermatologist personally. Do not 'try' anything. This condition is easily treatable. So visit a dermatologist.