So, The Last Unicorn by Peter S. Beagle, written in 1968.
I'd never heard of this book. My Mother-in-law dropped it off with a few more during their visit with us in early November.
It's a fairy tale about a Unicorn who, after hearing two huntsmen speak, believes she may be the last unicorn left alive, and sets forth to find out what happened to them. She travels the country, and because the world is so jaded (ain't that the truth), no one sees her for her true self. They just see a beautiful white mare, that leaves them feeling odd, and gives them odd dreams.
She in imprisoned by an evil carnival-owning witch, is released by a bumbling magician named Schmendrick (what a great name), who accompanies her, along with another lady named Molly (who can see the Unicorn as she is and not a mare) to find the fate of the unicorns.
There are bandits, evil kings a Red Bull, a love-sick prince, magical mishaps, and a happy ending for most. I won't tell more. Just that is was a fun read and for me an allegory of the loss of innocence and faith in our world.