Their last-gasp victor, a header from Sean Raggett, sealed victory over Burley of the Premier League and put them one win away from a date at Wembley. The Premier League club won the Hillsborough replay 3-0.
However, Barton put in a host of poor performances under Mark Warburton before being banished to the shadows for a bust-up with the manager and fellow players.
After steering the unfancied side to the Vanarama National League play-offs the pair were recruited by the Imps, quit their education careers and are busy making waves at Sincil Bank.
"It's unheard of in modern-day football", goal-scorer Sean Raggett said of Lincoln's feat.
Sutton entertain Arsenal on Monday and will also have a great chance especially if the Gunners put out a full-strength side...
However the Imps will face their biggest task to date when they take on Premier League side Burnley.
Back then Leicester might not have been champions but they were favourites to see off a Millwall team managed by George Graham and chasing promotion.
"Some of the games we have been involved in this season have been good experiences".
The south London club has already upset former FA Cup victor Leeds United in round four and now takes on an Arsenal team still smarting from a 5-1 drubbing at the hands of Bayern Munich in the Champions League.
It was the Foxes' first FA Cup defeat to a side in the third tier or lower since they were knocked out by Wycombe Wanderers in March 2001.
"We said it was a one in a 100 chance and thankfully we got that opportunity", Cowley, who this time previous year was working part-time at Essex minnows Braintree Town while continuing his teaching career, told BT Sport.
Sean Raggett headed past Tom Heaton in the 89th-minute to secure the the historic win just in the nick of time at Turf Moor.
Matt Rhead, a giant throwback of a striker who was working in a factory four years ago, caused problems with his height and presence.
"If I'm being honest, I don't think English managers get enough opportunity".
"But you have to go and make it happen".
"It was a amusing old game, and awkward day with the weather, but they did enough to win", said Dyche.
"We can't underestimate them.
Thankfully for us it was", he said.
The half-time whistle was met with cheers from the City fans, but the best was yet to come as far as they were concerned.
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