Lucy Jones was the contestant on the Sesame Street game show, "Pick Your Pet". She asks a series of questions to the animals (including Little Bird, Baskerville the Hound and Beautiful Day Monster) that would relate to a cat. Unfortunately, her time runs up before she can ask Beautiful Day Monster any questions. Lucy Jones has to choose, so she pick Beautiful Day Monster. The monster acts like a cat, so Lucy is happy with her pet.

Lucy Jones is the same puppet used for Betty Lou and Helen Happy.