Cough along with Cold most of the time is a  viral illness and it needs supportive care along with proper hydration. you can give steam inhalation which is very useful . cough needs to be treated with anti allergic and expectorant bronchodilators or antitussives medicine which should be given only after a proper evaluation by the doctor according to the type of cough. if fever is there paracetamol can be given to reduce the fever and the dose can be repeated after 6 hours again if required .

Can give normal saline nasal drop 3 to 4 hourly. Consult a pediatrician for further treatment.

Nasoclear nasal drops 1 drop nasally three to four times a day before feeding Mucolite drops 0.7 ml three times a day Show physically if cough increases