Thanks for writing to health care magic.
In a child with cough
there are few things a parent should watch for.
Is the child having any rapid breathing or not.
The respiratory rate
varies with age and one should note this point also.
They should look for chest indrawing. One should also note if there is nasal flaring or not.
One should also note the activity of the child. Your kid is lethargic. This is one of the danger signs. So if a kid with cough is having rapid breathing, poor feeding, retractions etc one should take him to the doctor immediately
Hope this helps