BURNLEY — Burnley’s Ashley Barnes fired a last-gasp winner as his off-color side climbed to the heady heights of fourth in the Premier League with a fortuitous 1-0 win over struggling Stoke City Tuesday. There was little to warm the home crowd on a wet and windy night but those who braved the wintry weather were celebrating in the 89th minute as Barnes seized on a ricochet off teammate Scott Arfield and thumped a shot past Stoke goalkeeper Jack Butland. Burnley moved above Tottenham Hotspur, Arsenal and Liverpool — all of whom play Wednesday — and is the highest it has been in the top flight since 1975. Sean Dyche’s side has played much better this season, but despite managing only two shots on target all night against the team with the worst defense in the Premier League, it found a way to get its ninth win from 17 games. “Tonight was a different