What is her cheast like inbewteen the coughing, if she is working harder when she is breathing in the chest area, this is called chest recessions, and is a sign of respiratory distress, you can also look at the base of her neck, there is a hole there, is the skin there moving in and out (neck tug or traecheal tug) that is also a sign of resiratory distress. But wth the combination of the temps cough etc, I would definitely get her checked out