Brian Welch's injury time brace rescued a point for City in a scrappy affair at the Giant Axe on Tuesday night.
But City boss Tony Hesketh believes the Blues could and should have claimed all three points.
Lancaster City 3 Barrow 3.
Welch's first was a low drive that beat Barrow keeper Simon after a cross from the right.
But there was nothing that Bishop could about Welch's second as in the 95th minute he unleashed a 25 yard rocket into the left hand side of the net.
City thought that there was no way back as on 69 minutes Lee Ellison netted from two yards after the Dolly Blues failed to clear a Barrow corner.
Lancaster's defending was poor throughout the encounter, and it was poor defensive play that allowed Barrow to take the lead.
A long ball that should have been dealt with by Paul Rigby, found its way to Grant Holt.
Thornley raced out and pressured, but Holt laid the ball back to Ellison who lifted it over a helpless Thornley who lay injured on the floor, yet he continued after treatment.
Poor marking allowed Barrow to extend their lead on 42 minutes, from a towering header by inspirational captain Mark Hulme, after a corner from the left.
Their two-goal lead lasted barley a minute as Kevin Holliday tapped in from 3 yards after Andy Whittaker's effort was parried by Bishop.
Barrow will look to an incident in the 38th minute, as Thornley accidentally handled outside the box, and was only showed yellow from referee Graham Salisbury.
Salisbury was swamped by Barrow players at the final whistle because of this and the five minutes injury time given by Salisbury at the end.
But their protest was in vein as City's late show gave them a point, which will be much needed if they're to remain in the title hunt.
Hesketh said after the game: "We totally ran them into the ground.
It was relentless, we were battering them into submission.
"That was the first time this season I've had to raise my voice at half time.
I told the lads to stay in the game because my reports suggest that Barrow tire.
They cannot run for 90 minutes."
And he joked: "There's no need for me to tell you that there are 95 minutes in a game of football!"
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