United had the long trip to Somerset to face Yeovil Town at Huish Park on Saturday afternoon.
And the Blues made it three wins-in-a-row with another thoroughly deserved victory as they once again created a host of chances to take the spoils.
In the end it was a fine finish from Hallam Hope which made the difference on a day when they dominated much of the play and defended with determination.
Twardek showed early pace to get past his man, as United probed from the off, but he was denied a corner when the ball ricocheted off the defender and onto his boot.
Carlisle created the first chance of the afternoon when a throw from Liddle was nodded on by Bennett. Hope took it on his chest on the edge of the box but his volley was wayward and it angled past the target.
An attempted clearance from Twardek was charged down at the other end and that left Surridge with room to cross. It was a decent delivery but it had just too much on it and Browne could do nothing as it sped past his outstretched boot.
It was an entertaining opening and Hill had half a chance when a corner from Devitt landed on his boot. It spooned up into the air and Sowunmi went for safety first when he put it behind for another set piece. That was cleared when Hill tried to guide his deep header back towards Stockton.
The Glovers had a good chance on 18 minutes when a free kick from the half way line was dropped onto the penalty spot, with Clint Hill absent from the back line having just received treatment for a bump on the head. Sowunmi took advantage of some defensive hesitation to lob the ball over the advancing Jack Bonham. It was a decent connection but it dropped harmlessly onto the roof of the net.
Hope did well at the other end to create half a yard and his shot through legs had to be dealt with as it threatened the bottom corner. The rebound came back to Hope, and he was chopped to the floor as he tried to get past his marker. Parkes whipped the free kick in at pace but the flick from Bennett didn't have enough on it and the ball skipped behind for a goal kick.
Another foul, this time on Bennett, gave Parkes the chance to go for glory from 30-yards, but the wall did its job with a needed deflection. Devitt took the corner, and a header from Hill had to be helped on its way by Dickson as it threatened to go into the top corner.
United had a run of four corners in total but they were almost caught on the counter when a huge clearance was touched into the path of Ryan Seager. He had the width of the target to aim at but he sent a weak effort wide of the upright.
The Blues enjoyed another good spell, which saw them pepper the box with crosses as Yeovil struggled to get the ball clear. It came to an end when Parkes had a go from the edge of the box. It went through Bennett's legs and behind for a goal kick as the striker tried to back heel it into the net.
Carlisle were almost caught out by a quick break when Surridge threaded a lovely ball through for Gray to chase. Bonham raced off his line to make an excellent and vital save with the goal at the forward's mercy.
A stretcher was called for just before the break when Jake Gray went down heavily as he blocked a clearance from Liddle. He eventually had to leave the field, and United picked things up with a shot on the spin from Bennett which Maddison was able to watch all the way.
The half ended with a long throw from James which dropped via a half clearance for Wing to volley. He put his laces through it but Hill was there to make the block.
Mike Jones came on to make career appearance number 450 for the second half and Carlisle were immediately on the attack as Bennett was played through to go one-on-one with Maddison. The keeper smothered the initial attempt at a lob, and was also on hand to deal with two follow-ups which prevented the forward from either squaring it to Devitt and Hope, or from finding the back of the net.
The away side came again and they got their goal when Hope kept his cool as he came at the box from the left hand angle. He took his time and left Maddison with no chance as he crunched a superb effort into the bottom corner.
Shots from Wing and James suggested that the Glovers weren't about to give things up, but it was United who should have extended their lead when a fantastic touch from Devitt put Bennett through once more. The forward came under pressure and his toe poke went past the post.
Yeovil had half chances, as they tried to get themselves going, but Carlisle looked the more likely and they wasted a gilt-edged opportunity when Devitt showed excellent control to take the ball down and get into the area. He was perhaps caught in two minds as he leaned back and popped his volley over the bar.
Carlisle continued to look threatening and they had their heads in their hands as Hope let fly once more. Maddison was beaten but it came off the bottom of the woodwork and was immediately retrieved by Devitt. His shot was controlled by Nadesan, but Maddison got enough on it to help it behind.
United were almost made to pay for their misses when the ball pinged around inside the box with legs swinging from all angles. Bonham made a save, Ellis made a block, as did Hill, and the away side were able to breathe again as they finally cleared their lines.
Wing rattled the bottom of the Carlisle post when a corner skimmed into his path, with a 20-yard thunderbolt, but Carlisle settled themselves and saw the game out to claim another good away win.
Carlisle United - Hope (48)
Yeovil Town - Browne (55)
Yeovil Town - Maddison, Wing, Browne (Fisher 71), Gray (Khan 45), Dickson, Surridge, Sowunmi, Gobern, Seager (Green 56), Whelan, James. Subs - Bird, Smith, Nelson, Donnellan.
Carlisle United - Bonham, Joyce, Liddle, Parkes, Hope, Devitt, Bennett (Nadesan 69), Ellis, Stockton (O'Sullivan 74), Twardek (Jones 46), Hill. Subs - Gray, Grainger, Campbell-Ryce, Lambe.
Referee - Antony Coggins
Attendance - 2,668 (162 away fans)