One of the very last basic tracks recorded at the very, very end of the "Get Back/Let It Be" era was at Olympic Studios in London on May 06 1969. The basic tracks were for a McCartney composition entitled "You Never Give Me Your Money" being fragments of leftover tunes in his head. This would be the beginning of a larger melody issued on a later album. Glyn Johns was present in the control room for the basic tracks.
Paul was on piano and guide vocal, George on an electric guitar going through a leslie speaker, Ringo on drums and John on another electric guitar. 36 takes were attempted and the take used for commercial release and overdubs would be take 30.
After this session, The Beatles took a bit of a break and went their separate ways for about a month and a half. It was during this break that Paul had contacted George Martin about recording a new LP like they had used to do it in the recording studios and the "Abbey Road" sessions got under way for the month of July and August.
Unfortunately during a trip to Scotland, John had been in an automobile accident with Yoko and therefore missed the first few recording sessions at the beginning of July.
The first order of business for the session (now at EMI Studios number 2) on July 01 1969 was overdubbing Paul's vocal onto "You Never Give Me Your Money". You can hear this version (pre-overdubs) on various bootlegs including the vinyl LP: "No. 3 Abbey Road N.W. 8" as well as the CD "Unsurpassed Masters Vol. 5" with a few strand notes at the beginning of the take.