Can any one tell me the name of the rock song about a dog named Chester?

It was played on 88.9 WFSE American College Radio alot and had lyrics like: "it's cold outside, and i'm not coming home, I don't know where i'll be, when the morning comes, but chester, you're a good dog. But please don't follow me, just go on home." I can't find it ANYWHERE and I know I can't be the only person who's ever herd it before.