Yes they still do this. If you go on the Disney World website and look at 1900 Park Fare, there is a little info on it. You call the dining line to book it. Characters are Alice and the Mad Hatter. No, you can not stay with your child.
Wonderland Tea Party - A tea party (lasting one hour) for children, hosted by characters from Alice in Wonderland. Children will make and eat cupcakes, enjoy a story, and have tea (juice) with the characters, and make flower bouquets. Children who are potty trained and ages 4-10 may attend.
Monday through Friday from 2:00 p.m. - 3:00 p.m.
Available to all guests, Cost is $40.00 ($42.60 including tax).
Reservations 90 days in advance at 407-WDW-DINE.