Question: Which band was the band, who featured the "Fab Four," named after?

Context paragraphs:
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 "fifth Beatle" claims first appeared in the press immediately upon the band's rise to global fame in 1963–64.  The members have offered their own beliefs of the "fifth Beatle":

Type O Negative: Type O Negative was an American gothic metal band formed in Brooklyn, New York in 1989, by Peter Steele (lead vocals, bass), Kenny Hickey (guitar, backing vocals), Josh Silver (keyboards, backing vocals), and Sal Abruscato (drums, percussions), who was later replaced by Johnny Kelly.  Their lyrical emphasis on themes of romance, depression, and death resulted in the nickname "The Drab Four" (in homage to The Beatles' "Fab Four" moniker).  The band went Platinum with 1993's "Bloody Kisses," and Gold with 1996's "October Rust", and gained a fanbase through seven studio albums, two best-of compilations, and concert DVDs.

Deface the Music: Deface the Music is a 1980 album by the band Utopia featuring Todd Rundgren, Roger Powell, Kasim Sulton, and John "Willie" Wilcox.  The concept of the album was to pay homage to The Beatles and create songs which sounded very similar to the Fab Four's tunes throughout the various stages of their career.  Their song "Take It Home", replete with guitar riff, is their homage to "Day Tripper".  The first track, "I Just Want to Touch You", was written by Rundgren for the "Roadie" soundtrack.  It was rejected by the movie's producers for fear of legal action because it sounded so much like the Beatles.

The Fab Faux: The Fab Faux is a musical tribute band performing the works of the Beatles (whose members were often known as the "Fab Four").  The group was founded by Will Lee, bassist for "Late Show with David Letterman", and features Jimmy Vivino, bandleader for "Conan".  Other members include Rich Pagano, Frank Agnello, and Jack Petruzzelli.  The band is committed to performing live what they feel would be an accurate reproduction of The Beatles' repertoire, often performing material The Beatles never played live.  The band members do not try to impersonate the members of The Beatles, instead simply playing cover songs.  The band is often accompanied by a horn section (known as the Hogshead Horns) and a string section (known as the Creme Tangerine Strings) to achieve the proper sound.

Beatles Day: Beatles Day celebrates The Beatles' triumphant return to Liverpool on 10 July 1964 from their US tour, just in time for the premiere of their film "A Hard Day's Night".  This day is considered one of the landmarks in their rise to fame, and, since 2008, its anniversary has been celebrated as Beatles Day in both Liverpool and Hamburg, the cities where the Fab Four laid the foundations for their stardom.  Others choose to celebrate "Beatles Day" on 27 February in the USA to mark the beauty and peacefulness of the Fab Four's music in time for Spring.

Andy Babiuk: Andy Babiuk (born November 27, 1963) is an American musician, author, consultant, and owner of Andy Babiuk’s Fab Gear in Fairport, New York.  He is a founding member and bassist of the super-group, The Empty Hearts(est. 2014) and was also a founding member of The Chesterfield Kings Babiuk is the author of "Beatles Gear: All The Fab Four’s Instruments From Stage To Studio", (2001), "The Story of Paul Bigsby" (2009), "Rolling Stones Gear" (2014) and "Beatles Gear – The Ultimate Edition" (2015).  He is a staff consultant to the Rock and Roll Hall of Fame as well as prestigious auction houses in New York, London and Los Angeles.

Prefab Four: Prefab Four was a play on words, a parody of The Beatles' nickname Fab Four, primarily applied to one of two bands:

When We Was Fab: "When We Was Fab" is a song by English musician George Harrison, which he released on his 1987 album "Cloud Nine".  It was also issued as the second single from the album, in January 1988.  The lyrics serve as a nostalgic reflection by Harrison on the days of Beatlemania during the 1960s, when the Beatles were first referred to as "the Fab Four".  Harrison co-wrote the song with Jeff Lynne, who also co-produced the track.  The recording references the psychedelic sound that the Beatles had helped popularise in 1967, through its use of sitar, cello, and backwards-relayed effects.  Harrison's former Beatles bandmate Ringo Starr is among the other musicians on the track.  The single was accompanied by an innovative music video, directed by the partnership of Kevin Godley and Lol Creme.  One of Harrison's most popular songs, "When We Was Fab" has appeared on the compilations "Best of Dark Horse 1976–1989" (1989) and "" (2009).

The Fab Four (tribute): The Fab Four is a California-based tribute band paying homage to The Beatles.  Founded in 1997 by Ron McNeil, John Lennon impersonator and President of The Fab Four Corp, the group began performing Beatles music throughout Southern California.  The band’s beginning included regular performances at Disneyland's Tomorrowland Terrace, The Hop and Scruffy O’Sheas.

Stuart Sutcliffe: Stuart Fergusson Victor Sutcliffe (23 June 1940 – 10 April 1962) was a British painter and musician best known as the original bass guitarist for the Beatles.  Sutcliffe left the band to pursue his career as a painter, having previously attended the Liverpool College of Art.  Sutcliffe and John Lennon are credited with inventing the name, "Beetles", as they both liked Buddy Holly's band, the Crickets.  The band used this name for a while until Lennon decided to change the name to "the Beatles", from the word "beat".  As a member of the group when it was a five-piece band, Sutcliffe is one of several people sometimes referred to as the "Fifth Beatle."

Supporting paragraphs: Stuart Sutcliffe Fifth Beatle
Answer: the Crickets