You do know that Lennon and McCartney wrote the Stones first British hit, “I Wanna Be Your Man”, right?
That’s actually one of the cool things about the 60s, is that bands may have been rivals, but they also worked together.
Here’s a perfect example.
The Dirty Mac - Yer Blues
https://www.youtube.com/watch?v=JeFwaWFTGYU
Yes, I do. So what? It didn't compare to their later world-wide hits.