The Quarrymen
From Jenny Everywhere Wiki
Around 1958, Jenny Cornelius took Laura Drake all the way to Liverpool to hear “some silly teenage boys who had a band.” (PROSE: How Jenny First Met...)
A different Jenny targeted somewhat older versions of the group for her romantic advances, once they were established as The Beatles. (PROSE: Paperback Writer)
Behind the scenes
It is implied, but not explicitly stated, that as in our universe The Quarrymen eventually reorganized into The Beatles.