The thing to do is watch the programme and compare images of whomsoever sings this song. The song is not on the web.
"All You Need Is Love" is currently airing on London Live (Freeview Cnannel 8) on Fridays and Saturdays. But these suffer from the obligatory insertion of lengthy adverts - actually cutting into the content.
This weekend (6/7-11-2020) they aired episode 6. "Always Chasing Rainbows: Tin Pan Alley" [BTW did you know that Tin Pan Alley was really Denmark Street, in Soho, London]
There are some episodes on YouTube and Youku (which can be viewed &/or downloaded):
1. God's Children: The Beginnings [YouTube]
2. I Can Hypnotise 'Dis Nation: Ragtime [YouTube]
8. Swing That Music - Swing [YouTube]
10. Making Moonshine - Country Music (Youku)
12. Hail! Hail! Rock n'Roll [YouTube]
13. The Beatles - Mighty Good (Youku)