The Baggies are the fourth top flight side to lose at Turf Moor this season and now Burnley will face a trip to the winner of the Arsenal v Cardiff City 4th Round replay.
Coventry City manager Chris Coleman had Saturday's opponents Wolves watched tonight in their Championship game against Norwich City. Sylvan Ebanks Blake hit a hat-trick for Mick McCarthy's side with Croft, Cort and Doherty giving the Canaries a share of the spoils.
Former City striker Dele Adebola scored twice for Bristol City in a 2-1 win against Charlton whilst Southampton conceded a goal in stoppage time to go down 2-1 at home to Sheffield United.
Plymouth got a point from their long trek to Preston North End in a 1-1 draw.
Postponed matches in the Championship were at Crystal Palace, QPR and Sheffield Wednesday.
Cov kid Danny Nardiello was sent off for Hartlepool at Huddersfield Town whilst League One leaders Leicester City won 4-1 at Walsall.
Locally, Bedworth and Nuneaton's games were postponed as were all the games in the Midland Alliance.