Hi and welcome to our community!
C~
It depends on the dosage of prednisone and how long you were on it for. I find for myself that I don't tolerate the stuff as well anymore. I do find that 40mg and above on prednisone does throw your sleep off. It takes a while to readjust again. Don't think about it too much, otherwise you will psych yourself out of sleep. Just realize it's from the drugs and eventually your sleep will straighten up again. Could it be that coughing is keeping from sleeping?