Question: What song did John Lennon write in his house at Menlove Avenue that lead The Beatles to a commercial breakthrough prior to the release of "She Loves You"?

Context articles: Every Little Thing (Beatles song)
Lennon Legend: The Very Best of John Lennon
Please Please Me (song)
Menlove Ave.
Not a Second Time
251 Menlove Avenue
Nobody Loves You (When You're Down and Out)
Beatles and Rolling Stones rivalry
No Reply (song)
Beatlemania in the United Kingdom

"Every Little Thing" is a song by the English rock group the Beatles from their 1964 album "Beatles for Sale".
 Credited to Lennon–McCartney, it was written by Paul McCartney, although John Lennon is the more prominent lead vocalist on the recording.
 Rather than include the track on the North American version of "Beatles for Sale" (which was titled "Beatles '65"), Capitol Records first issued the song on the June 1965 release "Beatles VI".
 The track is an early example of the Beatles' use of non-rock instrumentation on a recording, through the addition of timpani drum over the choruses.
Lennon Legend: The Very Best of John Lennon is the third official compilation album of John Lennon's solo career, coming after 1975's "Shaved Fish" and 1982's "The John Lennon Collection".
 Because neither collection spanned Lennon's releases up to and including 1984's "Milk and Honey", "Lennon Legend: The Very Best of John Lennon" – considered the definitive Lennon retrospective – was compiled to rectify the situation.
 It was released in the UK in 1997 through Parlophone and early 1998 in the US by EMI Records.
"Please Please Me" is a song and the second single released by English rock group the Beatles in the United Kingdom, and the first to be issued in the United States.
 It was also the title track of their first LP, which was recorded to capitalise on the success of the single.
 It was originally a John Lennon composition (credited to Lennon–McCartney), although its ultimate form was significantly influenced by George Martin.
 John Lennon: "Please Please Me is my song completely.
 It was my attempt at writing a Roy Orbison song, would you believe it?
 I wrote it in the bedroom in my house at Menlove Avenue, which was my auntie's place".
Menlove Ave. is a 1986 album by English rock musician John Lennon.
 It is the second posthumous release of Lennon's music, having been recorded during the sessions for his albums "Walls and Bridges" and "Rock 'n' Roll".
 "Menlove Ave." was released under the supervision of Yoko Ono, Lennon's widow.
"Not a Second Time" is a song by John Lennon (credited to Lennon–McCartney) performed by English rock group the Beatles on their second British album, "With the Beatles", and the American album "Meet the Beatles!
".
 Lennon said he was "trying to write a Smokey Robinson or something at the time."
251 Menlove Avenue in Liverpool, England, named Mendips, is the childhood home of John Lennon, singer and songwriter with The Beatles.
 The Grade II listed building is preserved by the National Trust.
"Nobody Loves You (When You're Down and Out)" is a song written by John Lennon released on his 1974 album "Walls and Bridges".
 The song is included on the 1986 compilation "Menlove Ave.", the 1990 boxset "Lennon", the 1998 boxset "John Lennon Anthology", the 2005 two-disc compilation "", and the 2010 boxset "Gimme Some Truth".
"The Beatles" and "The Rolling Stones" were arguably the biggest bands of the 1960s.
 Both bands started their careers in the early 1960s in the United Kingdom and rose to fame as part of the British invasion.
 The Beatles rose to fame in the UK in 1963 with their singles "Please Please Me" and 'Love Me Do".
 After a successful album contract the band decided to leave Liverpool and move to London.
 The Rolling Stones were a struggling band at the time and the Beatles had become famous as a self contained Rock Band.
 Original song content was getting tougher to acquire in the United Kingdom so the Rolling Stones were a Rock and Roll Blues cover group.
 On meeting the Beatles at a London Pub; John Lennon and Paul McCartney agreed to write an original single for the Rolling Stones called "I Wanna Be Your Man".
 The song gave the Stones their first commercial success and Mick Jagger and Keith Richards began writing as well.
"No Reply" is a song by the English rock band the Beatles from their 1964 album "Beatles for Sale".
 In North America, it was issued on Capitol Records' variant on the British release, "Beatles '65".
 The song was written mainly by John Lennon and credited to Lennon–McCartney.
 Lennon originally gave the song to another artist managed by Brian Epstein, Tommy Quickly, in June 1964, but Quickly decided not to use it.
 The Beatles recorded the track in London soon after returning from their first full tour of the United States.
 The lyrics typify Lennon's more introspective and mature songwriting on the "Beatles for Sale" album.
The phenomenon known as Beatlemania originated in the United Kingdom, birthplace of the Beatles, when the band first realised enormous popularity there in 1963.
 Returning in 1962 from a highly formative two-year residency in Germany, the Beatles achieved a commercial breakthrough with their second UK single release, "Please Please Me" early in 1963, but gained "Superstar" status with the release of "She Loves You" later that year.
 There followed an almost non-stop series of concerts and tours, attended with feverish enthusiasm across the UK, for the whole of the following year.
 The Beatles' popularity in the UK came to exceed even that of the notable American artists Tommy Roe, Chris Montez and Roy Orbison, whose UK chart success at the time did not keep them from being overshadowed by the Beatles during their 1963 nationwide tours with the lower-billed band — an achievement previously unknown for a UK act.