Did she recover from any flu along with her high fever? If she did, it could be the mucus backflow that is causing the cough.
I dont like to give cough syrup to kids as it is not safe.
You can try using nasal spray. It will help to wash down and dislodge any mucus stuck in the airways that lead to the throat.
After a few spray,use a a anot sucker.
this method usually helps my toddler into going into a full blown bad coughing fit
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