Anne Marie's an elephant
She was singing in the band
She made it laugh but it don't laugh at all
...doo do do do.

The story:

I still haven't found out the lyrics, but I can tell you that every time I heard "Anne Marie's an elephant" and was with my friends, I wanted to crawl under a rock and die. You see, I felt I was fatter than my friends (even though I was only 115 pounds) and that they would laugh when they heard "Anne Marie's an elephant". They didn't, because I don't think they figured out what that toothless bastard in CCR was singing either!