Which band was the band, who featured the "Fab Four," named after?
Stuart Sutcliffe:  Sutcliffe and John Lennon are credited with inventing the name, "Beetles", as they both liked Buddy Holly's band, the Crickets. Fifth Beatle: The fifth Beatle is an informal title that various commentators in the press and entertainment industry have applied to people who were at one point a member of the Beatles, or who had a strong association with the "Fab Four" (John Lennon, Paul McCartney, George Harrison, and Ringo Starr) during the group's existence.
the Crickets