Watford were forced to accept history of an unwanted kind as the Clarets dug deep before romping to their first away win of the season.
Second-half goals from the deadly duo of Chris Wood and Ashley Barnes – who both claimed their sixth goals of the campaign – and James Tarkowski’s late effort extended the Hornets’ winless home run to a record 11 games.
It was a more welcome first for the Clarets, who also recorded their first clean sheet away from Turf Moor in 13 attempts.
That also came at Vicarage Road in January as Sean Dyche’s men were mounting last season’s great escape.