On top of what Jasmine has said, I think it is also best to recognize what kind of cough your baby is suffering from -- is it a dry cough, a whooping cough, a chesty cough? Treatment often depends what sort of a cough your baby has. For example, a dry cough is usually a symptom of the common cold or flu. If baby's condition doesn't improve, it could be symptomatic of a bigger underlying issue.