Will Jones broke the deadlock by putting the Linnets ahead four minutes into the second half. And seven minutes from time, Liam Rice made sure with the hosts` second.
Mossley AFC moved into seventh and Ossett Albion into third spot after a goalless draw at Seel Park.
Brighouse Town are now only four points behind then top five, despite being ninth, after a 1-0 win against struggling Scarborough Athletic at Queensgate, Daniel Facey scoring the only goal of the night after 24 minutes.
Bamber Bridge went nap at Irongate against second-bottom Harrogate Railway Athletic.
Ali Waddecar bagged a brace in the 16th and 27th minutes and, after Jamie Milligan had made it 3-0 from the penalty spot just before the break, completed his hat-trick four minutes into the second period. Curtis Thompson made it five with 14 minutes left to play.
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