Originally recorded by Barrett Strong (US #23/R&B #2 1959).
Other hit versions by Jennel Hawkins (R&B #17 1962), The Beatles (1963), Bern Elliot & the Fenmen (UK #14 1963), The Kingsmen (US #16/R&B #6 1964), The Flying Lizards (1979 UK #5/US #50).
From the wiki: “The song was written by Tamla founder Berry Gordy and Janie Bradford, and became the first hit record for Gordy’s Motown enterprise. The record was first released on the Anna label (operated by Gwen Gordy, Anna Gordy and Billy ‘Roquel’ Davis). Gwen and Anna’s brother Berry Gordy had just established his Tamla label (soon Motown would follow), and he licensed the song to the Anna label in 1960 to take advantage of its national distribution arrangement with Chicago-based Chess Records in order to meet demand.