This was written by Memphis hospital worker Roosevelt Jamison, and was originally recorded by O.V. Wright on a small local label.
Redding recorded this and released it as single immediately before his first Top 40 hit "I've Been Loving You Too Long (to Stop Now)." (thanks, Brad Wind - Miami, FL, for above 2)
The Rolling Stones, who were big fans of Redding and recorded many Blues and Soul covers in their early years, recorded this in 1965 and released it on their Out Of Our Heads album. Redding reciprocated by recording a version of The Stones "(I Can't Get No) Satisfaction." (thanks, Bertrand - Paris, France)