I looked for this song for years, thinking it was the Animals. By luck I was YouTubing and saw yet another version by the "Nashville Teens", and there it was. Eric Burdon did record it, but his version is a slow blues. It has been covered many, many times. This is the first version of John D. Loudrmilks's song that became a hit (1964) and it is the definitive version, trust me.
The Nashville Teens were the back up band for Jerry Lee Lewis' Live at the Star Club, Hamburg in 1964.