Sep 28, · If your doctor recommends antibiotics to treat a severe ear infection, they will likely recommend an oral treatment, such as amoxicillin (Amoxil). Antibiotic ear dropsAuthor: Kristeen Cherney. Over-the-Counter Medicine and Children. Pain relievers: Children younger than 6 months: only give acetaminophen. Children 6 months or older: it is OK to give acetaminophen or ibuprofen. Never give aspirin to children because it can cause Reye’s syndrome, a rare but very serious illness that harms.