Early career and the Grease Band (1961–1969)
In 1961, under the stage name "Vance Arnold", Cocker started a new group, Vance Arnold and the Avengers. The name was a combination of Vince Everett (Elvis Presley's character in Jailhouse Rock, which Cocker misheard as Vance) and country singer Eddy Arnold. The group mostly played in the pubs of Sheffield, performing Chuck Berry and Ray Charles songs. Cocker developed an interest in blues music and sought out recordings by John Lee Hooker, Muddy Waters, Lightnin' Hopkins and Howlin' Wolf. In 1963, they booked their first significant gig when they supported the Rolling Stones at Sheffield City Hall.
In 1964, Cocker signed a recording contract as a solo act with Decca and released his debut single, a recording of the Beatles' "I'll Cry Instead" (with Big Jim Sullivan and Jimmy Page playing guitars). Despite extensive promotion from Decca lauding his youth and working-class roots, the record was a flop and his recording contract with Decca lapsed at the end of 1964. After Cocker recorded the single, he dropped his stage name and formed a new group, Joe Cocker's Blues Band. There is only one known recording of Joe Cocker's Blues Band on an EP given out by The Sheffield College during Rag Week and called Rag Goes Mad at the Mojo.
In 1966, after a year-long hiatus from music, Cocker teamed up with Chris Stainton, whom he had met several years before, to form the Grease Band. The Grease Band was named after Cocker read an interview with jazz keyboardist Jimmy Smith, where Smith positively described another musician as "having a lot of grease". Like the Avengers, Cocker's group mostly played in pubs in and around Sheffield. The Grease Band came to the attention of Denny Cordell, the producer of Procol Harum, the Moody Blues and Georgie Fame. Cocker recorded the single "Marjorine" without the Grease Band for Cordell in a London studio. He then moved to London with Chris Stainton, and the Grease Band was dissolved. Cordell set Cocker up with a residency at the Marquee Club in London, and a "new" Grease Band was formed with Stainton and keyboardist Tommy Eyre.
In 1968, Cocker found commercial success with a rearrangement of "With a Little Help from My Friends", another Beatles song. The recording features lead guitar from Jimmy Page, drumming by B. J. Wilson, backing vocals from Sue and Sunny, and Tommy Eyre on organ. The single remained in the top ten of the UK Singles Chart for thirteen weeks before eventually reaching number one, on 9 November 1968. It also reached number 68 on the US charts.
The new touring line-up of Cocker's Grease Band featured Henry McCullough on lead guitar, who would go on to briefly play with McCartney's Wings. After touring the UK with the Who in autumn 1968 and Gene Pitney and Marmalade in early winter 1969, the Grease Band embarked on their first tour of the US in spring 1969. Cocker's album With a Little Help from My Friends was released soon after their arrival and made number 35 on the American charts, eventually going gold.
During his US tour, Cocker played at several large festivals, including the Newport Pop Festival and the Denver Pop Festival. In August, Denny Cordell heard about the planned concert in Woodstock, New York and convinced organiser Artie Kornfeld to book Cocker and the Grease Band for the Woodstock Festival. The group had to be flown into the festival by helicopter due to the large crowds. They performed several songs, including "Feelin' Alright?", "Something's Comin' On", "Let's Go Get Stoned", "I Shall Be Released" and "With a Little Help from My Friends". Cocker would later say that the experience was "like an eclipse ... it was a very special day."
Directly after Woodstock, Cocker released his second album, Joe Cocker! Impressed by his version of "With a Little Help from My Friends", Paul McCartney and George Harrison allowed Cocker to use their songs "She Came In Through the Bathroom Window" and "Something" for the album. Recorded during a break in touring in the spring and summer, the album reached number 11 on the US charts and garnered a second UK hit with the Leon Russell song, "Delta Lady".
In August 1969, Cocker performed at the Isle of Wight Festival at Wootton Bridge, Isle of Wight, England. Throughout 1969 he was featured on variety TV shows like The Ed Sullivan Show and This Is Tom Jones. Onstage, he exhibited an idiosyncratic physical intensity, flailing his arms and playing air guitar. At the end of the year Cocker was unwilling to embark on another US tour, so he dissolved the Grease Band.