My Baby Left Me (Crudup) by Elvis Presley Like “That’s All Right,” Elvis’ debut single for Sun Records, this uptempo rocker had been composed and recorded years earlier by blues artist Arthur Crudup. It was issued on the flip side of Elvis’ second RCA Victor single “I Want You, I Need You, I Love You.” THE 1956 HITS ARCHIVE - here in one place, a good-quality library of original-release-version best-sellers and songs that made an impact that were either released or enjoyed a major chunk of their popularity within the calendar year 1956 (some were recorded in 1955).
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