As part of a triumphant season on the road, the Throstles made the short trip to Villa Park and handed out a 4-1 beating to the Villans.
Goals from Dave Burnside, Derek Hogg, Bobby Robson and Don Howe gave the Baggies a first league win at Villa Park in 23 years.
Albion won ten away games in the 1958/59 season, drawing a further five.