How did BB king's guitar get its name?

Answer 1

From B.B.King Blues Club website:

(sorry it's in all caps, that's the way it was on the site and I cut and pasted it from there)

"IN THE MID-1950s, WHILE B.B. WAS PERFORMING AT ADANCE IN TWIST, ARKANSAS, A FEW FANS BECAME UNRULY. TWO MEN GOT INTO A FIGHT AND KNOCKED OVER A KEROSENE STOVE, SETTING FIRE TO THE HALL. B.B. RACED OUTDOORS TO SAFETY WITH EVERYONE ELSE, THEN REALIZED THAT HE LEFT HIS BELOVED $30 ACOUSTIC GUITAR INSIDE, SO HE RUSHED BACK INSIDETHE BURNING BUILDING TO RETRIEVE IT, NARROWLY ESCAPING DEATH. WHEN HE LATER FOUND OUT THAT THE FIGHT HAD BEEN OVER A WOMAN NAMED LUCILLE, HE DECIDED TO GIVE THE NAME TO HIS GUITAR TO REMIND HIM NEVER TO DO A CRAZY THING LIKE FIGHT OVER A WOMAN. EVER SINCE, EACH ONE OF B.B.'S TRADEMARKGIBSON GUITARS HAS BEEN CALLED LUCILLE."

Answer 2

It's a Gibson ES Model, and her name is Lucille.