How did a bands' name originate?


I heard that the name Rush originated from their producer's anxiety from the record label to name that band.
128x128slaw
"...I can't remember exactly who came up with 'The Who' in the first place. We were round at Pete's mate Barney"s flat chucking around all sorts of silly names. The Group. No One.The Hair. Pete liked that one. I think someone made a suggestion that Barney didn't hear.He said,'The Who?' Someone else said, 'That's good. The Who.' And that was that."Roger Daltrey's autobiography, "Thanks A Lot Mr. Kibblewhite."
p.65
 I'm listening to Fastway which was named after Fast Eddie Clark from Motorhead and Pete Way from UFO.  However, Pete left before they started recording. 
The Who were The Detours before they became aware of another band using that name.
Not sure where the "Rush" posters got their info but Rush Hudson Limbaugh started his career in 1967.  The band "Rush" debuted in 1968.

Coincidence?  I think not!