Oh dogs they love to travel
With their faces to the breeze
But cats sit trembling on your lap
And vomit on your knees

It's by Garrison Keillor, I believe. At least I once heard him do it on A Prairie Home Companion, back in the early 80s. The tune is "The E-ri-e Canal." I have the other verses buried somewhere; the chorus goes:

Oh the Siamese was crying
And the tabby was a wreck
And the old tomcat was on my back
With his arms around my neck

Aloha,
Mark