Alice comes from the Old French Aalis, itself from the Old Germanic Adalheidis — meaning "noble kind" or "of noble birth." The same root gives Adelaide, Adelina, and Heidi.
Lewis Carroll's Alice's Adventures in Wonderland (1865) made the name a permanent cultural fixture. Alice has stayed in the U.S. top 200 for over a century and is currently at #58, climbing — a classical name that never quite leaves.
Alice reduces to seven — the number of curiosity and quiet thought.