As Alice is talking to the caterpillar he asks her who she is:
“I – I hardly know, Sir, just at present – at least I know who I was when I got up this morning, but I think I must hae been changed several times since then.”
Usually when someone asks me who I am, I am able to tell them just who I am. Alice seems to have a bit of trouble with this. She feels that after growing and shrinking so much that she no longer has a true identity, and she doesn’t really “know” who she is. A similar situation is like in the song “Horse With No Name.” He says,
“I’m walking in the desert with a horse with no name. In the desert you can’t remember your name, because there ain’t no one for to give you no name.”
This can also be seen in Lord of the Flies as the boys are on the island longer and longer. One of the younger boys, Percival, starts off being able to tell the other boys his full name, address, and telephone number. Toward the end of the story he slowly forgets some of the details until he can no longer even remember his own name.
No to play a different card of this situation is to say that Alice’s journey in Wonderland actually shows her who she really is, instead of who she acts like. She just thinks she doesn’t know who she is, because she doesn’t recognize this person that is coming out during this adventure.