Cough in small children, if happens again n again, indicates that they are prone to falling prey easily to allergens, changing atmosphere with seasons esp winter and rains and spring, infections etc.
The reason is assessible commonly i.e. lack of resistance to such factors or weak immunity.
Antibiotics, antitussives, bronchodilation in moder drug is a good measure in acute problems but not for recurring ones or for chronic cases.
If I were your family doctor, I would have insisted you to resort to Ayurveda's time tested, herbal combo of four classic herbs viz Balchaturbhadra CHOORNA with Piper longum as central to all these having effect of
detoxification, carminative, appetite enhancer, cough and
fever controller, anti emetic for such cogh conditions and what not. It enhances immunity. Cyperus rotundus,
Aconitum heterophyllum, Pistacia integerrima are other three herbs.
It's child friendly from very small babies' to 12 yr old children according to directed doses.
No side effects except overdose which may cause
gastritis.
Non toxic medicine and completely natural. Commonly available in India or globally can be ordered on net.
For further query you may contact any Ayurveda doctor or contact me through direct question.
Hope it helps.