Telford set a new Conference record of 27 league games without a win after losing to relegation rivals Lincoln.
Todd Jordan's superb 25-yard strike put the Imps ahead, only to be cancelled out by Steve Jones' header.
Steve Leslie's 12-yard shot put the visitors into the lead as they looked to finally have their long-awaited win.
But Jamie Taylor restored parity with his first goal in 10 games, after being teed up by Andrew Boyce, before striking an 88th-minute winner.
Taylor's brace enabled the Imps to capitalise on the postponement of Nuneaton's game with Woking and move out of the relegation zone on goal difference.
However, the result piled yet more misery on the Bucks, whose last success in the league was a 4-1 win at Dartford on 9 October.
By surpassing the winless run of 26 games by AP Leamington in the 1981-82 season, Telford have now become the outright holders of an unwanted record.
And, if results elsewhere do not go their way this week, they are now just one defeat away from relegation if they lose at home to Nuneaton next Saturday.
VIEW FROM THE DRESSING ROOM
Lincoln City manager Gary Simpson told BBC Lincolnshire:
"We created quite a few opportunities. Their keeper was the man of the match and we had four cleared off the line. We've created a lot more, but we've left ourselves open a couple of times as well which they could have exploited.
"Spirit-wise we were terrific and kept going. We'll need that to the end of the season because there'll be more twists and turns like today when nearly everyone won today, so it's a good job we got the points.
"The result is all. It's about now. From now to the end of the season, we can be absolutely rubbish as far as I'm concerned as long as we get the results."
AFC Telford interim manager John Psaras told BBC Radio Shropshire:
"The mood in the camp is disappointment. We are working hard and getting more attacking play. At times we had them on the back foot.
"There is a lot riding on next week to avoid relegation - but I have been brought here to make them work hard and restore some team spirit. I am sure we will get a result.
"With 20 minutes left, we were 2-1 up, and had a chance to make it 3-1 but missed it. We were hit by a sucker punch and our back two, who had momentum, lost it - and they equalised.
"I told them in the dressing room, that we've attacked more in the last four games than we have since Christmas. Whatever happens, if we go 1-0 down, our principles stay the same."
Live Text Commentary
Full Time The referee blows for the end of the match.90:00 +2:34
The referee blows for offside against Aaron Williams. Paul Farman takes the indirect free kick.90:00 +1:24
Effort on goal by Phil Trainer from just inside the penalty area goes over the target.90:00 +1:05
Jamie Taylor challenges Will Salmon unfairly and gives away a free kick. Ryan Valentine restarts play with the free kick.87:26 Goal scored
Goal! - Jamie Taylor - Lincoln 3 - 2 AFC Telf'd A goal is scored by Jamie Taylor from the edge of the penalty area to the bottom left corner of the goal. Lincoln City 3-2 AFC Telford.86:14
The offside flag is raised against Aaron Williams. Paul Farman takes the free kick.85:55
The official flags Jake Sheridan offside. Ryan Young takes the free kick.84:56
Shot from close range by Aaron Williams misses to the right of the goal.83:25
Corner taken by Alan Power, Andrew Boyce takes a shot. Will Salmon gets a block in.82:48
Gomez Dali takes a shot. Save by Ryan Young.81:30
Unfair challenge on Ian Craney by Paul Turnbull results in a free kick. Indirect free kick taken by Ryan Young.78:52
Corner taken by Alan Power from the right by-line.78:25 Substitution
Substitution James Spray leaves the field to be replaced by Alex Meechan.77:56 Substitution
Substitution (Lincoln City) makes a substitution, with Paul Turnbull coming on for Todd Jordan.76:15
Assist on the goal came from Andrew Boyce.76:15 Goal scored
Goal! - Jamie Taylor - Lincoln 2 - 2 AFC Telf'd Goal scored by Jamie Taylor from inside the penalty box to the bottom left corner of the goal. Lincoln City 2-2 AFC Telford.75:34
Jake Jones gives away a free kick for an unfair challenge on Will Salmon. Ryan Young takes the indirect free kick.74:37
Unfair challenge on Will Salmon by Todd Jordan results in a free kick. Indirect free kick taken by Christian Smith.72:12 Substitution
Substitution Marco Adaggio on for Steve Jones.71:52
Aaron Williams produces a right-footed shot from just outside the penalty area that goes harmlessly over the target.
Ian Craney fouled by Alan Power, the ref awards a free kick. Free kick taken by Ryan Young.67:43
Ryan Valentine gives away a free kick for an unfair challenge on Tom Miller. Free kick taken by Alan Power, Andrew Boyce takes a shot. Comfortable save by Ryan Young.66:45
Corner taken by Alan Power from the right by-line.66:31
Shot from just outside the box by Gomez Dali misses to the right of the target.66:05 Substitution
Substitution Jake Jones replaces Mamadou Fofana.63:32
Gomez Dali gives away a free kick for an unfair challenge on Will Salmon. Steven Leslie takes the indirect free kick, Aaron Williams takes a shot. Save made by Paul Farman.62:32
Inswinging corner taken from the right by-line by Steven Leslie.60:54
Outswinging corner taken from the right by-line by Alan Power.58:56
James Spray gives away a free kick for an unfair challenge on Andrew Boyce. Paul Farman takes the indirect free kick.57:35
Corner from left by-line taken by Alan Power.57:11
Alan Power takes a shot.52:26
The assist for the goal came from James Spray.52:26 Goal scored
Goal! - Steven Leslie - Lincoln 1 - 2 AFC Telf'd Steven Leslie gets on the score sheet with a goal from deep inside the penalty box to the bottom right corner of the goal. Lincoln City 1-2 AFC Telford.51:55
Free kick awarded for an unfair challenge on Phil Trainer by Todd Jordan. The free kick is delivered right-footed by Ryan Valentine from right channel,50:42
Outswinging corner taken from the right by-line by Alan Power, Nathaniel Brown takes a shot. Ryan Valentine makes a clearance.50:24
Tom Miller takes a shot.46:38
Steve Jones handles the ball and concedes a free kick. Paul Farman restarts play with the free kick.46:04
Todd Jordan takes a shot. Comfortable save by Ryan Young.45:01
The second half has started.45:01 Substitution
Substitution Steven Leslie is brought on as a substitute for Nathan Rooney.45:01 Substitution
Substitution Gomez Dali on for Craig Hobson.45:00 +1:39 Half time
Half Time The players leave the pitch at half time.45:00 +1:06
Outswinging corner taken by Alan Power.44:59
Jamie Taylor produces a right-footed shot from just outside the box that misses to the right of the target.38:50
The assist for the goal came from Nathan Rooney.38:50 Goal scored
Goal! - Steve Jones - Lincoln 1 - 1 AFC Telf'd Steve Jones finds the net with a headed goal from deep inside the penalty area. Lincoln City 1-1 AFC Telford.37:41
Foul by Todd Jordan on Phil Trainer, free kick awarded. Nathan Rooney takes the indirect free kick.36:15
Shot from outside the box by Steve Jones misses to the left of the target.31:47
Jamie Taylor takes a shot. Ryan Young makes a comfortable save.31:16
Alan Power takes a outswinging corner.29:26
Nathan Rooney takes a shot. Save by Paul Farman.28:07
Corner taken by Mamadou Fofana.27:52
Shot from just outside the box by Jake Sheridan goes over the crossbar.18:45
Free kick awarded for a foul by Todd Jordan on Phil Trainer. Will Salmon takes the indirect free kick.17:53
Alan Power takes a shot. Ian Craney manages to make a clearance.14:29
Outswinging corner taken right-footed by Nathan Rooney from the right by-line, Craig Hobson manages to make a clearance.13:05
Christian Smith fouled by Alan Power, the ref awards a free kick. Indirect free kick taken by Christian Smith.11:53
Assist on the goal came from Jake Sheridan.11:53 Goal scored
Goal! - Todd Jordan - Lincoln 1 - 0 AFC Telf'd Todd Jordan finds the net with a goal from outside the box to the top right corner of the goal. Lincoln City 1-0 AFC Telford.11:37
Jake Sheridan has an effort at goal from inside the penalty box that bounces off the post.10:42
Outswinging corner taken right-footed by Alan Power, clearance by Ryan Valentine.8:36
Nathan Rooney takes a outswinging corner.7:07
Close range strike by Jamie Taylor goes over the bar.1:17
Phil Trainer produces a left-footed shot from just outside the area that goes harmlessly over the bar.0:00
The ref blows the whistle to begin the match.
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