MAUREEN: It’s a little game. Everyone gets a diaper pin, and if you say the word “baby,” the person catching you saying it gets to keep your pin.
At the baby shower, no one is supposed to say the word “baby”. Yet, during the game where they are shoving cotton balls into the bag, Sherry continually says the word baby and no one takes her pin or corrects her. Either the “baby pin” game only lasted a short time, or Sherry got a free pass because it’s her baby shower.
The Annotated Gilmore Girls 