While Paul was working on the "Postcard" LP by Mary Hopkin for Apple Records, John Lennon was busy during the month of December 1968 working on some new songs
Most of the performances were conducted at his home (still) in Kenwood. The Beatles had agreed to meet in the New Year and start rehearsing for some kind of television special so some new songs might be in order.
We hear two versions of "Oh, My Love"; these are very John/Yoko centric and would evolve to the same title with changes for the eventual 1971 Lennon solo LP "Imagine".
We also get to hear the song "A Case Of The Blues" which is demoed during the month and you can hear some snippets of this tune during the "Get Back" rehearsals the following month but it was never properly recorded or released as a Beatles tune.
There is a demo of "Everyone Had a Hard Year". This riff and repetition would be added to Paul's number "I've Got A Feeling" as the Beatles would meet in a few weeks in January 1969 at Twickenham studio to start rehearsals for the television special.
Finally, two nice takes of "Don't Let Me Down" (very unfinished) have surfaced from these demos.
The tunes can be found on various "Lost Lennon Tapes" LP bootlegs. All of them can be heard on the bootleg CD "The 1968 Demos" and the "Oh My Love" outtakes can also be heard on the bootleg CD "Imagine...All the Outtakes".