What To Do For Dry Cough In Child?

Hi My daughter started a dry cough two weeks ago. She would cough sometimes for 45min to an hour as if she s having a asthma attack, it,s a wet cough with some wheezing and white discharge. She also wakes up at night to cough.She is not known for any allergies or asthma. The doctor gave her a corticosteroids for a week and ventolin every four hours. It,s been three days and there has not been major changes. Does she need antibiotics? She did not have a cold, nor sore throat prior to the cough or now. Thanks, for natasha