Hi, Thank you for asking question on health care magic. Third degree burn of your child s index finger needs immediate attention of burns and plastic surgery specialist. Antibiotics to prevent sepsis in addition pain relieving drugs are needed. Skin grafting and physiotherapy may be required once the wound heals. It is difficult to pronounce prognosis right now. Hope this answer will serve your purpose Please feel free to ask any more queries if required Take care Dr.M.V.Subrahmanyam MD;DCH Associate professor of pediatrics