With six changes from the line-up that started the game at the weekend, including four teenagers, Curzon earned their right to enter the second round of the competition and with it an away fixture at UniBond South side Alsager Town.
The opening 15 minutes was a game of both sides testing out the other, leaving both goalkeepers at this stage to have a fairly relaxed evening, with the first shot on goal coming in the 22nd minute when form a free kick Ryan Stewart drove the ball straight into the hands of David Carnell from 20 yards out.
Elstrom Die and Jamie Byrne combined down the left with Byrne getting a snap shot in, forcing Liam Higginbotham to snatch the ball low down near his right hand post and then just before the half-hour mark it was Byrne again, this time getting on to a knock-on by Josh Mitten, but his shot lacked power and was comfortably taken by the home keeper.
Woodley took the lead on 31 minutes and it was courtesy of an own goal by 18-year-old Ben Richardson who appeared to get caught in two minds as the ball was driven in from the right and all he could do was to steer the ball with his head past Carnell.
Three minutes before the break Curzon got back on level terms as Die played a short corner back to Jamie Kay. His teasing curling cross to the far post was met by the head of the incoming Byrne who headed home his first senior goal of the season.
The second period began with Dave Hanlon testing Carnell when his cross-come-shot had to be parried away and Richardson was left to complete the clearance, turning the ball out of play.
It was the Curzon teenagers showing the way to goal after Byrne played the ball square across the pitch to Richard Tait, and his shot from 25 yards out had the beating of Higginbotham, only to go out of play via the top of the crossbar.
The visitors went into the lead on 64 minutes with a goal worthy of winning any cup game and the damage was once again done by Byrne, who picked the ball up in the left hand channel, and on the turn drove it over the head of Higginbotham and into the far corner of the net.
The remaining period was one of Curzon almost constantly on the attack with Woodley reliant on trying to break quickly out of defence, with Ryan Moore forcing a save from Higginbotham and it was only the width of the home sides left hand post that prevented Moore from increasing his sides lead when his shot left Higginbotham floundering, only to strike the outside of the post.
With a minute remaining of normal time Mike Norton turned Andy Russell one way then the other, before unleashing a shot to the near post which Higginbotham did well to get a strong hand to it to turn it for yet another Curzon corner.
After the final whistle was blown referee Mr Bristow brandished a red card, apparently in the direction of Woodley's Mario Sergio-Daniel after he struck Paul Riley.