Haven't heard of the Peter Pan Club either, but I ran across this from another post and thought MAYBE it might be what you're looking for????? It's at the Polynesian Resort.
What is the Neverland Club?
This is a special childcare experience for children ages four to twelve. It is a supervised childcare program for WDW guests that features full-sized arcade games, Nintendo, computers, dress-up, arts & crafts and Disney movies. The facility is themed to Peter Pan and includes the Darling nursery, Skull Rock, a pirate ship, and the clouds of London.
From 6:00pm until 8:00pm a dinner buffet is served, which typically includes pizza, chicken fingers, macaroni and cheese, French fries, hot dogs, corn on the cob, fruit, and dessert. A pudding dessert is served at 8:00pm and a juice and cookie snack at 10:00pm.
The Club is located in the same building as the arcade and the laundry, between the Rarotonga and Rapa Nui longhouses. Please note that animal programs and character appearances are no longer part of the Neverland Club. Reservations are required, and can be made by calling (407) WDW-DINE.
Hope that helps!