The Rolling Stones Song of the Day is You Better Move On. You Better Move On appeared on The Rolling Stones EP. The rhythm and blues song was written and first performed by Arthur Alexander and reached #24 on the Hot 100 in 1962. It was later covered by The Hollies, George Jones, and Johnny Paycheck , Gene Clark of The Byrds and Bobby Vee. Alexander also wrote Anna which was recorded by The Beatles. Of the four songs on The Rolling Stones EP this was the song that generated the most radio airplay. This was something different at this point for The Rolling Stones- a ballad.
https://www.youtube.com/watch?v=GhcmuviICVY
https://www.youtube.com/watch?v=5yHdtiq6LIE
slicethelife 
You can see why these bands had to learn to write their own songs…every song seemed to have many versions.
The very early Moody Blues also did a cover of this song. I didn’t know the Stones and Hollies did as well. I enjoyed listening to those versions. Then, I searched for the Jones-Paycheck version, and that one is not my taste. But they did their own thing with it, which is cool.
When I saw Jones-Paycheck did it I found that odd- yes I agree that one isn’t the best version! Its funny how some of those songs are covered by a wide variety of artists. Will look up the Moody Blues version.
The Hollies really gave it ‘the Hollies treatment’. For that, I think I like their version more than the Stones and Moodies.
They always had good taste in covers. Of course no one can match Arthur.
Regards Thom