I just ran across this great version of the song. I didn’t know it was written by Jerry Lieber and –not in this case Mike Stoller, but — Artie Butler. A beautiful bit of singing by New Orleans R&B singer Alvin Robinson: https://funky16corners.lunarpages.net/?p=1755.
Then check out the quite different Coasters’ version. The Stones version:
Apparently there are no CDs or compilations of Alvin’s singing — a shame. Lost in time.