Hull City have on-loan goalkeeper David Stockdale to thank for only trailing Burnley by a single goal at half time.
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Stockdale was at full strength to tip a long-range strike from Ross Wallace onto the crossbar and keep the match goalless after 25 minutes.
Steve Bruce's side had a chance of their own to take the lead but Sone Aluko blasted wide from a tight angle.
Burnley created a great opening before the break when Martin Paterson broke clear in the penalty area.
Paterson had two chances to beat Stockdale but could not find a way past the in-form keeper.
The visitors finally took the lead five minutes before the interval when Dean Marney latched onto a pass from Charlie Austin to fire home against his old club.