Question: Who wrote the home demo of the song that was first released after the Beatles informally decided to split?

In the Beginning (Circa 1960) is the first consolidated American packaging of the 1962 German album by Tony Sheridan and The Beatles (credited as The Beat Brothers), called "My Bonnie".  "In the Beginning (Circa 1960)" was released by Polydor Records in 1970 (catalogue number 24-4504.)  It was recorded in Hamburg in 1961.  This album was originally released as "The Beatles' First" in Germany in 1964 and in the United Kingdom in 1967.  Previous American releases of this material in LP form was split in 1964 between MGM Records and Atco Records.  Polydor (which eventually absorbed MGM) established its United States branch in 1969 which explains why this package was released much later in The Beatles' history.  Most of the tracks feature vocals by Sheridan.  The album was released only four days before "Let It Be", The Beatles' final studio album.  This is therefore the last Beatles compilation album released whilst the band were still releasing studio albums.  All subsequent releases of Sheridan/Beatles/Beat Brothers material are simply repackages of the same tracks.  This album is available in a slightly altered CD by Polydor without the inaccurate "(Circa 1960)" subtitle and with both parts of "Ya Ya".  Only part one of that track was released on this LP.  "In the Beginning (Circa 1960)" was also the only Beatles album not owned by EMI though Universal's purchase of Polydor and the Beatles' main catalogue put them under the same ownership. <SEP>  In 1995, a studio version of the recording, incorporating contributions from Paul McCartney, George Harrison and Ringo Starr, was released as a single by the Beatles.  It was released 25 years after the break-up of the band and 15 years after the death of Lennon. "Free as a Bird" is a song originally composed and recorded in 1977 as a home demo by John Lennon. <SEP>  Although in September 1969 John Lennon privately informed the other Beatles that he was leaving the group, there was no public acknowledgement of the break-up until Paul McCartney announced on 10 April 1970 he was leaving the Beatles. The break-up of the Beatles was a cumulative process throughout the period 1968 to 1970, marked by rumours of a split and ambiguous comments by the Beatles themselves regarding the future of the group. <SEP> The Danish rock band Nephew has released five studio albums, three live albums, five EPs, one compilation album, one box set, and nineteen singles.  The band was formed in 1996 by Simon Kvamm, Kristian Riis, Jonas Juul Jeppesen, and Søren Arnholt.  In 1998, Jeppesen, who was until then the bassist in the band, left the band and was replaced by the current bassist Kasper Toustrup.  That year, they proceeded to release two demo albums, "Tunes" and "Things to Do"; the demo "Downtown Europe" was released in 1999.  In 2000, the band debuted with "Swimming Time", on the small label Martian Records.  The album was received well by both critics and fans, but despite the band's success, the members got bored and decided to take a break.  During their 2001 farewell concert in Germany, the band rediscovered their passion for music and decided to stay together.  After being signed to Copenhagen Records, the band released their second studio album "USADSB" in 2004, which was very well received and is seen as their "breakthrough" album.  It gained double platinum status in Denmark, and aside from there has been released in Japan, Germany, and Norway.  Later in 2004, the "En Wannabe Darth Wader" single release came to be, which contains both the Danish and English versions of Nephew's song "En Wannabe Darth Vader".