I don't know about your area, but there is a stomach virus running around the schools (and elsewhere) here. I haven't heard of coughing going with it. It could be that the vomiting is irritating her throat, causing the coughing; vomit can be very acidic.Be sure she's not dehydrating.
I would call the doctor now and describe it and your concerns. If she continues to vomit etc. take her in sooner rather than later. I don't want to be scary, but appendicitis involves vomiting and (some) fever. My daughter was vomiting a bit, had virtually no fever, and only a little generalized abdominal soreness -- and it turned out to be the early stages of appendicitis. So while the chances are slim this is the same thing, it's worth keeping tabs on. Much likelier it's just a basic virus, but follow your instinct and ask the doctor.