William Murray Bremner (born 4 August 1946, in Aberdeen, Aberdeenshire, Scotland) is a Scottish guitarist, best known for his work in the band Rockpile and on many of Nick Lowe and Dave Edmunds' albums.

He then became a member of the Neil Innes band Fatso, which went on to record the soundtrack for the original Rutland Weekend Television series.

[2] As "Bill Murray" he released two singles produced by Kris Ife: "Downtown Hoedown" / "Rhyme And Reason" (Polydor 2058 881, 1977) and "Heart and the Stone" / "I Don't Wanna Be No Hero" (State Records STAT 72, 1978).

[2] In addition to his guitar playing, Bremner occasionally sang lead, as he did on "Heart" and "You Ain't Nothing But Fine" on the 1980 Rockpile album Seconds of Pleasure.

featured a rhythm section of Dave Kerr-Clemenson from Fast Buck on bass and Terry Williams from Rockpile on drums.