Considered one of the most popular jazz groups in London, the band was led by Dick Morrissey on tenor and soprano saxes and flute, and Jim Mullen on guitar, who joined forces in 1975, playing together for sixteen years, during which they came to be known as "Mr Sax and Captain Axe" because of their hallmark call and response style between guitar and saxophone.
Up (Atlantic, 1977) included Average White Band as a rhythm section, Luther Vandross and Cissy Houston on vocals, and New York session musicians. A six-week residency at Mikell's in New York City attracted Boz Scaggs, David Sanborn, Steve Gadd, Steve Ferrone, Richard Tee, George Benson, Ray Barretto, Michael Brecker, and Randy Brecker.
On their return to the United Kingdom, Morrissey-Mullen concentrated on the small-club/pub circuit, including a residency at The Half Moon, Putney for many years. In 1979, EMI commissioned them to enter the Abbey Road Studios to make "Britain's first digitally-recorded single record", a cover version of the hit "Love Don't Live Here Anymore" by Rose Royce. Their album Badness (1981) reached number one in the UK disco chart. The band performed in the live sessions of Night Owls, a BBC Radio 2 programme presented by jazz writer and tenor saxophonist Dave Gelly.
Morrissey-Mullen's backing band included British jazz musicians such as Martin Drew, David Sheen, Chris Ainsworth, Tony Beard, Neil Wilkinson, John Mole, Clive Chaman, John McKenzie, Joe Hubbard, Trevor Barry, and Pete Jacobsen, John Critchinson, Martin Blackwell, Geoff Castle, and John Burch (with whom Dick Morrissey would formed an octet in 1984). Although members of the band had included two session musicians from New Zealand, Frank Gibson, Jr. on drums and Bruce Lynch on bass, the band was also a springboard for a generation of young British musicians, including Chris Fletcher on percussion, Gary Husband on drums, Rob Burns on bass, Claire Hamill and Carol Kenyon on vocals (both on whom appeared with Dick Morrissey on the 1981 Jon & Vangelis album The Friends of Mr Cairo), Tessa Niles, Linda Taylor, and Noel McCalla.
Morrissey's failing health required too many visits to hospital for the band to be viable. When the band dissolved in 1988, Mullen and Morrissey continued meeting for jam sessions with what they called,"Our Band", usually with the same musicians that had accompanied them in the past. They appeared at the 1991 Cork Jazz Festival in the Metropole Hotel in Cork, Ireland.
- 1976: Up (Embryo)
- 1979: Cape Wrath
- 1981: Badness – UK No. 43
- 1982: Life on the Wire – UK No. 47
- 1983: It's About Time – UK No. 95
- 1985: This Must Be the Place
- 1988: Happy Hour
- Billboard 23 October 1976 Vol. 88, N.º 43 Nielsen Business Media, Inc. ISSN 0006-2510 Billboard
- Ankeny, Jason. Allmusic
- The Rough Guide to Jazz Rough Guides, 2004 ISBN 1-84353-256-5 ISBN 978-1-84353-256-9 at Google Books
- "Obituaries". The Independent.
- "Sulphuric Records". Sulphuric Records.
- "Dick Morrissey Obituary". The Daily Telegraph. 9 November 2000.
- Roberts, David (2006). British Hit Singles & Albums (19th ed.). London: Guinness World Records Limited. p. 380. ISBN 1-904994-10-5.