Allison also sang on a few later releases by the Crickets, both singles and album tracks. For example, he played on the studio recording of The Everly Brothers' "(Till) I Kissed You" in 1959.According to Buddy Holly's biographer, John Goldrosen, Holly's song "Peggy Sue" was originally named after Holly's niece, Cindy Lue.The name was changed at Allison's request: Peggy Sue was the name of Allison's eventual wife (later divorced), and the title change was a way of asking her to come back after a break-up.

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This very rare recording was named "Who's Gonna Be the Next One Honey".

It was also performed at the Norman Petty studio in Clovis, New Mexico, about six months before "Peggy Sue" was recorded.

In their early days at the Lubbock Youth Center, Buddy Holly's vocals and guitar were backed only by Allison's drumming, allowing for some of Holly's best guitar work.

Norman Petty, the manager, often manipulated song-writing credits and Allison, although credited with another recording to which he contributed little, helped to compose the music for some of the famous songs, notably "That'll Be The Day" and "Peggy Sue" (Allison later married Peggy Sue Gerron, the namesake of the latter song who, in her biography quotes Allison admitting he did not write Peggy Sue, "Buddy did").

He retained control of the band's name, and has toured and recorded with a regularly changing group as The Crickets.

The most consistent members of this band have been bassist Joe B.Mauldin who was in Buddy Holly's Crickets, and guitarist-singer Sonny Curtis who played with Holly before The Crickets were formed in 1957, and rejoined shortly after Holly's death."That'll Be The Day" was originally recorded by Holly before he started working with Petty, so the latter's appearance on the songwriting credits for the later version by the Crickets illustrates the point about manipulation of the credits.Allison has referred in several published interviews to his role in composing "Not Fade Away", whose credits show Norman Petty/Charles Hardin – the first and middle real names of Buddy Holly (Charles Hardin Holley [sic]).Although Allison did not sing on the Crickets' records made with Buddy Holly – despite misleading credits for the band's recordings as "vocal group with instrumental accompaniment" – in 1958 he did release the single "Real Wild Child" – having heard Johnny O'Keefe play the original during the Crickets' brief visit to Australia that year – which he recorded under the pseudonym Ivan, with Buddy Holly on guitar and backing vocals.It was a minor chart entry in 1958 and the first studio recording of the song that would become a rock standard.