A GOAL from Spaniard Juan Ugarte after 19 minutes earned Wrexham a place in the Northern semi-finals of the LDV Vans Trophy, after a hard-fought game at the Deva Stadium last night.
The Welshmen had the better of the first half, but City came back well in the second period and with a little more luck could easily have gleaned a draw from the game.
Ugarte's goal was a close-range effort, after Llewellyn had taken advantage of a mistake by McIntyre, the former Norwich City player laid a delightful ball into the area and the Spaniard registered from close range.
Wrexham had another chance to score, but Brown in the City goal did well to deny Holt.
City's best chances of the first period came from Ellison and Davies, whose long range efforts both went wide of the upright.
City brought on youngster Robbie Booth for Ben Davies at the start of the second period and they looked a far sharper outfit than they had done in the first half.
Drummond and Ellison went narrowly wide early in the period, while Ellison was unlucky when a speculative effort from 15 yards rattled the Wrexham bar. Baker saved Booth's follow-up.
City came forward strongly, Hessey and Carden both brought out saves from Baker, and Ellison again hit the woodwork. This time with an angled effort that rattled the outside of the post.
Towards the end City threw caution to the wind and substitute Richard Hope had two glorious opportunities to equalise, but both close-range efforts were spurned.
In the third minute of injury time Chester appealed for a penalty, when Whalley appeared to be brought down in the area by Lawrence, however referee Mr Penn, who had an outstanding game, waved the appeals aside.
City manager Ian Rush said: "You can't fail the lads for effort, I thought we deserved at least a draw, but what the players have done is give us something to build on."
Wrexham manager Denis Smith saluted his side's second crucial victory in the space of four days after Saturday's Coca-Cola League One win at Huddersfield.
"We needed three points on Saturday and we got them. I felt we were comfortable in the first half, and we scored a very good goal.
"In the second half, Chester had to come at us and fair play to them, they put us under pressure. They threw men forward but I always felt we would nick a second goal.
"I thought it would come but it didn't. But in the end these sort of games are just about winning."
CHESTER CITY: Brown, Vaughan, McIntyre (Hope 69), Carden, Bolland, Drummond (Whalley 82), Ellison, Harris, Davies (Booth 46), Hessey, Rapley. Subs: Mackenzie, Edmondson.
WREXHAM: Baker, Lawrence, Ferguson, Llewellyn, Morgan, Jones (Armstrong 72), Pejic, Holt, Spender, Ugarte (Sam 67), Green. Subs: Dibble, Crowell, Mackin.