Pending the release of "Come and Get It", the band and Apple agreed that the band's name needed to change. Plus, The Iveys were sometimes were confused with The Ivey League. Suggestions were put forward, including the Glass Onion, the Prix, the Cagneys, and Home. Apple Corps' Neil Aspinall proposed "Badfinger", in reference to "Bad Finger Boogie", an early working title of Lennon–McCartney's "With A Little Help From My Friends", as Lennon had hurt his forefinger on a piano and was using only one finger. In December 1969, the band agreed on Badfinger.
However, George Harrison would later state that the band was named after Helga Fabdinger, a stripper the Beatles had known in Hamburg.