She's quite often out with the Mad Hatter at the Mad Tea Party.
As a side note, I just have to share:
Alice is my 4-yr-old's FAVORITE character. Alice in Wonderland was a daily viewing before our trip last year and we had actually made a special page in her autograph book for her to sign. We made sure to go to the character meet & greet when she was scheduled out. Well... the Mad Hatter was very vocal and animated and she was timid about approaching with him nearby.
I went up to the CM/handler and explained the situation and very nicely asked if Alice would be out alone or with someone else later in the day. She told me to wait in a particular location, and she would bring Alice by to meet my daughter.
Ten minutes later she did just that. It was by-far the most MAGICAL part of our trip last year. Alice was soooo sweet and spent several minutes talking with my daughter (as the CM unfortunately had to turn away a few other children). Alice squatted down to my daughter's level and really interacted with her. She commented on the special page in the autograph book with her cartoon picture glued on it and said, in a very Alice-like voice, "AH! Books with pictures are the best kinds of books!"
It's a line right out of the movie and fit the situation just perfectly!
Anyway, just had to share.... Hope your visit is just as magical.