Choosing a unique and interesting name for your rock band isn't always easy. Take for example the group named The The, who I'd wager are the bane of library catalogers everywhere. But sometimes band name inspiration can come from a bookshelf...
... so take a look at Mental Floss' 20 Bands Named After Classic Literature and learn the "story" behind the literary origins of The Doors, Modest Mouse, My Chemical Romance, and 17 others.
As an aside, one of my favorite literary-based band names is Rock Bottom Remainders, whose members have included Stephen King, Dave Barry, Amy Tan, Scott Turow, Mitch Albom, Roy Blount, Jr., Barbara Kingsolver, and Robert Fulghum. Enjoy this video of the Rock Bottom Remainders, performing at the 2012 American Library Association conference:
Image source: me, via the Tagxedo word cloud generator