The band's name might suggest that it is a weak jazz band or a failed jazz band. Alas, it is not. Instead, the band is a UK indie pop band from Oxford. Allmusic describes the band this way: "Formed in the early 80s as a vehicle for the idiosyncratic, melodic talents of UK songwriter Pat Fish." [source]
Their oeuvre is blackly humorous with such topics as Thomas Pynchon's The Crying of Lot 49, an unrequited crush on Shirley MacLaine, and an ode to SF writer Harlan Ellison. The song "Sister Death" is not about the comic book character, but was inspired by the last words of Saint Francis of Assisi, "Welcome, Sister Death". [source]I really don't know very much about this band, beyond this record and I cannot remember where I got it.