The former Peterborough United striker guided a header from Christian Eriksen’s cross past Nick Pope with just five minutes remaining.
The 25-year-old, who previously bagged a hat-trick away at Norwich City, then scored from the spot with the last kick of the game after Nathan Collins received Burnley’s first red card in 120 games.
The visitors had been wasteful in front of goal with Maxwel Cornet failing to convert from inside the box in both halves, Dwight McNeil got his header all wrong when getting on the end of Ashley Westwood’s delivery, while substitute Jay Rodriguez’s howitzer came back off the crossbar.
The result keeps Sean Dyche’s side buried in the bottom three, a point adrift of 17th place Everton, while the hosts hit the 30-point mark.
Here are the ratings.

5. Nathan Collins 5.5
Defended exceptionally well in the main, competing well in the air and on the ground against Toney, as he and Tarkowski negated the striker's threat until the final five minutes. Made a phenomenal challenge in the first half to prevent Janelt from getting a shot away at goal, when the German looked certain to score, but collected Burnley's first red card in 120 PL games when shoving Toney deep into stoppage time. Photo: JUSTIN TALLIS

6. Aaron Lennon 5.5
Unable to match his recent levels of productivity, but hit the byline ahead of Henry to deliver into the box or win a succession of corners on numerous occasions. Kept plugging away in the second half, always showing for the ball and looking to advance, while keeping Canos out of contention when play moved the opposite way. Photo: Catherine Ivill

7. Dwight McNeil 6
Desperate for a goal to help repair the shards of his shattered confidence, and really ought to have found it when somehow powering a header horribly wide when meeting Westwood's cross in front of goal. Protected the ball beautifully at times, when starved of support in the Brentford half, and won a number of corners when driving forward. Also worked hard against the ball. Photo: JUSTIN TALLIS

8. Josh Brownhill 6
Pestered Brentford's midfield three when pressing the ball and squeezing the play in an attempt to limit their influence, particularly that of Eriksen. The former Bristol City man assisted his defence ably, tracking back to screen the edge of the area while helping to rid the danger when the ball was played into the box. The home side's Danish playmaker found space in-between the lines at times, but Brownhill did well to keep those moments at a premium. Photo: Catherine Ivill

