The Leemen - Johnny Guitar (1960)

(Peggy Lee - Victor Young)
 Australia
#5 Sydney #34 Melbourne #18 Brisbane #9 Adelaide #16 Perth

Instrumental by Lonnie Lee’s backing band. In the film it had lyrics written and sung by Peggy Lee.

Red Herring Department: In 1959 a record on the Planet label, Melbourne, My Baby Dolly, was released by "Johnny Guitar with the Henri Bource All Stars and the Moontones" (listed at The First Wave [.pdf]). The identity of "Johnny Guitar" is unknown but Henri Bource, saxophonist and flautist, was one of Australia’s earliest rock’n’rollers, and he was later a member of The Thunderbirds. In 1964 he was the victim of a shark attack, an incident he made a documentary about in 1969 (see listing at Australian Soundtracks).
But I digress…

Suggestion from Terry Stacey.