Story of the match
Collins then had to be alert to save from Callum Elder after Coyle had gone wide. All the pressure finally paid off shortly after the half-hour mark as the Tigers opened the scoring.
The Barnsley 'keeper saved from Liam Kitching and a subsequent low cross by Magennis was nearly diverted into his own net. The rebound fell to Honeyman and he fired into the far corner.
Moments later, Di'Shon Bernard nearly doubled Hull's lead, but his looping was narrowly wide. Aaron Iseka then shot from long range for the Tykes, but he was nowhere close.
The visitors kept up the pressure in the second half as Docherty was one-on-one with Collins, the goalkeeper getting the better of their encounter. Magennis then skied the rebound over.
Nathan Baxter was called on for a rare time in the match when Callum Brittain struck his effort straight at the Hull shot-stopper.
The Tigers eventually doubled their lead as on the counter-attack Honeyman passed for Lewis-Potter and he dispatched his shot past a diving Collins.
Ryan Longman nearly found a third, but his strike clattered the post before Collins scooped the ball up. Baxter held on to Ronal Palmer's attempt and Collins made one final save from Richie Smallwood.
Man of the match: Keane Lewis-Potter
He showed why he's one of Hull's most important players with a fabulous display, easily the best player on the pitch. Lewis-Potter linked up well with Honeyman and grabbed the Tigers' second that secured all three points.