I am not familar with Billy Bragg.
There is also a song called "N.S.U." by Creme ( Jack Bruce, Ginger Baker, Eric Clapton). I'm not sure if it refers to the cars or the motorcycles.
And a song called "Beep Beep" about a "little Nash-Rambler" (Metropolitan) that races a Cadillac.
One of my favorite lines in a car song is:
"You're going to drive me to drinking, if you don't stop driving those HOT ROD LINCOLNS"
(Boy, I'm dating myself!)
Right now the CD player in my car has a Beach Boys mix....it has endless car songs.