Suggest Treatment For Persistent Cough

My 3 year old has had a persistent cough for about 2 weeks. Within the last 3 days, her cough has worsened. We ve been treating her with over the counter medicine. Hyland s Allergy, Similason Mucus and Cough, and Zarbee s Nighttime Cough, along with saline spray and a cool mist humidifier. Last night, I became very concerned as her airway became so blocked with congestion that she would stop breathing in her sleep. I gave her a breathing treatment of Albuterol as a precaution so we would not have to make a trip to the ER. Today, we went to the local Dr. (not a pediatrician). He prescribed her Prednizolone and Azithromycin. I noticed today that along with the expected hyperactivity, that she is very sweaty and has clammy skin. Would this additional symptom be something to be of concern or would it be typical of the new medication today? I read online about Pneumonia, and I wanted to check with a healthcare professional before becoming alarmed. Thank you for your help.