I should 'splain this.
Minnie Pearl was a regular on a show called HeeHaw. She would sometimes appear with a group of old women, all working on a quilt. She would usually tell some humorous story. Once, in a short segment, she told the other women what became one of my all time favoritest jokes. She said she had a hen that laid square eggs, and talked.
One of the women asked "What does she say?"
Minnie replied "She says OUCH!!!"
So...square egg.