Ol' black magic - lots of different people
Equally respectfully dutchy:
http://en.wikipedia.org/wiki/Fever_%281956_song%29
And from Grove Music Online (an academic resource only available by subscription)
Blackwell, Otis
(b Brooklyn, NY, 1931; d Nashville, TN, 6 May 2002). American rhythm and blues songwriter and singer. His list of over 900 songs includes several of Elvis Presley's best-known hits.
Blackwell's earliest success as a black songwriter came with Fever, written for the singer Little Willie John in 1956; this sensual ballad was later taken up by the cabaret star Peggy Lee who added new lyrics. In a different vein, Blackwell composed the gospel-tinged Daddy Rolling Stone, which became a favourite of English rock groups such as the Who. For Presley, Blackwell wrote the pulsating All Shook Up, Don't be cruel, Paralysed and the quirky ballad Return to Sender. As part of the publishing contract, Presley was credited as co-author of the songs, although he did not contribute to their composition. Blackwell also composed the tempestuous Great Balls of Fire and Breathless for another rock and roll star, Jerry Lee Lewis; like All Shook Up, these songs built up tension through sudden breaks in the flow of the song. During the early 1960s Blackwell also wrote the song Handy Man for Jimmy Jones, Nine Times out of Ten for Cliff Richard and Hey Little Girl for Dee Clark. He recorded his own versions of his best songs on a 1978 album, These are my Songs.
I'm backing my sources agains one bodgy lyric site. Nyah nyah nyah.