Stuart Elliot's (pictured) strike on the half-hour proved to be the difference between the two sides as Peter Taylor's side heaped more misery on the struggling Quakers who remain second bottom while The Tigers now top the league.
Oxford led the table at the start of the day but dropped down to second place as a result of a goalless draw with Lincoln City at The Kassam Stadium - a result that keeps The Red Imps in the play-off picture.
Third-placed Doncaster Rovers enjoyed a good day's work against Leyton Orient at Belle Vue as veteran striker Leo Fortune-West had the game won with a hat-trick in just 18 minutes.
Gregg Blundell and Peter Hynes added another couple to complete a 5-0 hammering of the visitors.
Boston United also enjoyed a good day at home as Graeme Jones, Adam Boyd and Stuart Douglas gave them a 3-1 win over Macclesfield at York Street.
Colin Little grabbed a goal for The Silkmen but Danny Adams' dismissal late on sealed a miserable day out for the visitors.
Jonathan Stead was on target again for Huddersfield Town and his penalty along with Jon Worthington's goal gave The Terriers a 2-1 win at Cambridge.
Adam Tann pulled a goal back for the hosts to make Huddersfield sweat late on but they held on for another three points in their play-off battle.
Yeovil Town avoided an FA Cup hangover after their clash with Liverpool as they scraped a 1-0 win at home to Rochdale thanks to a goal from Gavin Williams.
York player-manager Chris Brass was on target for his side in their 2-0 home win over bottom side Carlisle, with Richard Cooper addingthe second.
Torquay enjoyed a comfortable 3-1 win at home to Northampton Town thanks to goals from Jo Kuffour, Lee Canoville and Craig Taylor - with Ian Sampson getting the goal for the visitors.
Wayne Carlisle was the hero for Bristol Rovers as his penalty on the stroke of half time gave The Pirates a 1-0 win over Scunthorpe.
Bury secured a creditable win over Swansea City with goals from Danny Swailes and Jon Daly handing them a 2-0 win at Gigg Lane.
Rhys Day grabbed the only goal of the game for Mansfield as they squeaked past Kidderminster Harriers 1-0 at Field Mill.
Match Summaries:
Boston United 3-1 Macclesfield Town
Bristol Rovers 1-0 Scunthorpe United
Bury 2-0 Swansea City
Cambridge United 1-2 Huddersfield Town
Darlington 0-1 Hull City
Doncaster Rovers 5-0 Leyton Orient
Mansfield Town 1-0 Kidderminster Harriers
Oxford United 0-0 Lincoln City
Torquay United 3-1 Northampton Town
Yeovil Town 1-0 Rochdale
York City 2-1 Carlisle United
