throwing up after drinking dairy products?

This hasn't happened in years, but when I was around 13 pretty randomly during the winter I came down with a cough. Well one night I woke up and started to violently cough and a lot of it was flem to the point where it was so much coughing up of the flem that it was difficult to breath, well after this it turned into coughing and throwing up any dairy products that

I drank, so if I had my cereal with milk within a half hour I coughed and threw up not only the milk, but the cereal too, the same was true for ice cream/shakes, every incident flem was part of it too. After going to the doctor and trying a few asthma medications, the inhaler she finally put me on did the trick and it hasn't happened since. I actually now don't even use the inhaler because I think I've grown out of the asthma for the most part. I was just wondering how asthma could lead to throwing up/coughing up dairy products?