This band goes to a girl's head (5)

I believe the answer is:
alice
'this band' is the definition.
(I've seen this before)
'a girl's head' is the wordplay.
'girl's head' becomes 'lice' (I can't explain this - if you can you should believe this answer much more).
'a'+'lice'='ALICE'
'goes to' is the link.
Can you help me to learn more?
(Other definitions for alice that I've seen before include "band" , "Looking-glass girl" , "woman" , "She ate the "Eat Me" and drank the "Drink Me"" , "Celia changes into a different girl" .)
