James Maxwell's first-half goal gave the hosts all three points in a game of few chances on a chilly night at the Eco-Power Stadium.
That proved to be the only real opportunity of note for either side as the match passed largely without incident.
Barrow had won just one of their last eight matches before kick-off and looked like a side low on confidence as they barely tested Jonathan Mitchell in the home goal.
Their only efforts on target came from outside the box in the second half and were comfortably stopped.
A temporary floodlight failure which led to a stoppage in play was the most entertaining moment of a nondescript second half, which saw the home side create little but see the game out comfortably.
They remain two points off the play-offs.
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10. Kyle Hurst - 7
Brought the ball forward well in the first period. Faded after the break, like several others, but did test Paul Farman's goal with an effort from the edge of the box. Photo: Howard Roe/AHPIX LTD
11. Luke Molyneux - 7
Looked a confident player after scoring his first goals for the club and tested the Barrow goal on a few occasions. Photo: Howard Roe/AHPIX LTD
12. George Miller - 5
A quiet night of few chances. Replaced earlier than usual. Photo: HOWARD ROE