In 1960, with Bacharach he co-composed and performed the strange death disc "Two Hour Honeymoon" (Dot Records).
Some of his songs have been recorded by Sammy Davis Jr., Bette Midler, Eddy Arnold, Tom Jones, Merle Haggard, Ricky Nelson, Elvis Presley, Gene Pitney and Johnny Cash.
Some notable movie appearances were in Lady Sings the Blues, Shivers, Hit!, More Dead Than Alive, as a trigger-happy punk,[1]" and the award-winning television show Never Forget.
In 2008 Tony Award-winning actress and singer Idina Menzel recorded Hampton's song "Hope" for the Major League Baseball Stand Up To Cancer charitable program.
In 2010 singer Rosanne Cash covered the song in a duo with Bruce Springsteen which received a Grammy nomination and was promoted as the single from her album The List.