Drunken driving was a problem before the invention of the motor car, and the Victorian local papers often contain accounts such as the following, where Thomas Waldock apparently fell asleep while in charge of a donkey cart, leaving it blocking the road, to the annoyance of the Rev. John Johnson Tuck, of Wymondley. The resulting court case was reported in the Hertfordshire Express and General Advertiser of 11th May, 1867.
CORRECTION: Patricia has kindly drawn my attention to an error in my 2012 answer to a question about the Rev. John Johnson Tuck's school in Little Wymondley, where I incorrectly recorded the name of his mother. This has now been corrected.