Love Me Do

"Love Me Do" was a song by the Beatles in the early 1960s, at the very least one of their first. Susan Foreman considered the song to be the most important of the five years before 1963 and said that listeners at the time would later be proud to have been alive at the birth of the Beatles. John Brent, however, called it "just a bunch of yobs making a noise."

When Games class was called off on 29 March 1963 due to frozen pipes disabling the showers, the female fourth year students of Coal Hill School listened and danced to it. (PROSE: Time and Relative)

Behind the scenes
It's actually very plausible that the song would be so popular at that time, and "Bobby's Girl" reached #3 on the just months before.