This was written by Sam Cooke, who recorded it on November 16, 1964, his last studio session before his death on December 11. The following February it peaked at No 7 in America.
Great as it is, I think it is shaded by the mighty Otis backed by Booker T and the MGs, members of The Mar-Keys and The Memphis Horns, and pianist Isaac Hayes, on his album Otis Redding Sings Soul (also known as Otis Blue). It was released in September 1965.
It featured in a 1966 Ready Steady Go Live TV show devoted to Redding with guests Eric Burdon and Chris Farlowe, which is well worth a watch.
The Small Faces recorded in on their 1966 debut album Small Faces.