Quick answer
Imogen is a girl name meaning "maiden".
Meaning and history
The name of the daughter of King Cymbeline in the play Cymbeline (1609) by William Shakespeare. He based her on a legendary character named Innogen, but it was printed incorrectly and never emended. Innogen is probably derived from Gaelic inghean meaning "maiden". As a given name it is chiefly British and Australian.
Notes and context
Usage: english