S.H.
I would take her to the Doctor already.
She is very young.
YOu want to make sure she does not have RSV or anything. RSV is a very bad respiratory virus, and contagious for example.
Ditto. NO OTC meds at this age, and you need to ask your Pediatrician first.
Coughing can mean anything, not just a cold.
And you want to make sure it does not get worse.
At this age, their immune system is not fully developed yet.
take care,
Susan