Vince Taylor and his Playboys - Brand New Cadillac

Famously covered by the Clash on London Calling. Good song. 

Okay, Professor Google tells me that this was originally a Vince Taylor "B" side. I like the band, which includes Joe Moretti playing the guitar. There's an impressive list of bands that covered the song, either playing it at shows or releasing records in other countries. Reading about all of those shenanigans makes a nice catalog of record business misconduct. Many law suits were involved. 

Vince lived the last almost ten years of his life in Switzerland, working as an aircraft mechanic. Go figure. Died at age 52 of lung cancer.