Back in the day, it wasn't quite so common to learn about obsessed fans in the media.
However, the writers of Cattanooga Cats thought it best to give the band one as a nemesis. Meet Jessie, president of the band's fan club, who won't stop until she gets the band to sign their autographs in her book, but the methods she uses are tame compared to today's mentally challenged stalkers.
Scope out "Autograph Hounded":
Notice how Groovy (Casey Kasem) always speaks in rhyme? He was a poet, and wasn't afraid to show it.