Answer:
Alice is not a princess. Alice is the main character in two fairytale stories written in 1865 by Lewis Carroll. In the books Alice is just an ordinary seven-year-old girl who lives in England.
She is not an official Disney Princess either, but she is sometimes included with them. She was in the PlayStation 2 game Kingdom Hearts as one of the Princesses of Heart, all of whom were official Disney Princesses apart from her. She has also appeared in official Disney Princess art, and is included in the Disney Princess music video It's Not Just Make Believe and The Perfect Princess Tea with the eight official princesses.