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.
Scroll down for our player ratings.
5. Joseph Olowu - 7
A commanding display. Quick to atone for one or two errors in the first period. Photo: HOWARD ROE
6. Ben Nelson - 7
Not quite as slick as his performance on Saturday but made an important block to stop a Barrow effort from inside the area in stoppage time. Photo: Howard Roe
7. Tommy Rowe - 7
Provided another attacking outlet despite being deployed at centre-half. Probably starting to play his best football once again. Photo: Andrew Roe/AHPIX LTD
8. Ben Close - 7
Found the run of James Brown a couple of times with some wonderful passes in the early stages. Photo: Andrew Roe/AHPIX LTD