Alice band
noun
Al·ice band ˈa-ləs- 
variants or less commonly alice band
British
: a hair band worn high on the head usually to keep long hair pulled back from the forehead
She removed her Alice band and shook her hair free.
Mackenzie Ford, Gifts of War, 2008
Mackenzie Ford, Gifts of War, 2008
Word History
Etymology
after the hair band worn by the character Alice in illustrations to Lewis Carroll's fantasy novel Through the Looking-Glass (1871)
First Known Use
1953, in the meaning defined above