Real name: Lizzie Douglas; became her trademark song. Cut in Chicago, accompanied by her second husband Ernest 'Little Son Joe' Lawlars.
Chuck Berry [as I Want To Be Your Driver]
Jefferson Airplane [as Chauffeur Blues without any credits]
Blues Project [idem]
Bob Dylan [verse in take 1 of Leopard-skin Pill-box Hat, out on No Direction Home - Bootleg Series Vol. 7]
Clifton Chenier [as Be My Chauffeur]
Apart from the lyrics, this sounds a lot like Good Morning Little Schoolgirl (see there and see also Automobile Blues).