Elvis recorded this song on June 25, 1961 at RCA Studio B in Nashville. It was written by Doc Pumus and Mort Shuman. Working this session were: Scotty Moore and Hank Garland on guitar; Bob Moore on bass; D. J. Fontana and Buddy Harman on drums; Floyd Cramer on piano and organ; and Boots Randolph on the claves. At times, Jordanaires member Gordon Stoker played piano and Jordanaires member Neal Matthews played guitar. The Jordanaires and Millie Kirkham provided vocal backup.
Take number 8 was shipped out on August 8, 1961 with the flip side "Little Sister", another Pomus/Shuman composition which was recorded that same session. "(Marie's the Name) His Latest Flame" peaked at #4 in its 11-week run on Billboard's pop singles chart in the USA. On the British pop singles chart it peaked at #1 for 4 weeks in its 13-week run.
That same year, Del Shannon recorded it for his "Runaway" album. (Elvis covered
"Runaway" in live concerts years later.)