Hi Jon Atkinson,
Thank you for your query on Healthcare Magic.
She needs examination by her Pediatrician
to know the cause of her cough.
Cough is due to from a simple upper respiratory tract
infection to a significant bronchospasm
which is seen in hyper reactive airway problems.
Every cough usually doesn't require nebulization.
Physical examination by a Doctor is important to see whether there is wheezing
is there or not.
Don't give medication without a doctor prescription.
Consult the Pediatrician for physical examination and for her treatment.
Hope I have answered your query.