But they know that luck was on their side as the visitors dominated the game throughout and were extremely unlucky not to win with ease.
Wrexham took the lead on the half-hour mark through home grown teenage midfielder Simon Spender, who latched on to a loose ball to fire past Darlington keeper Sam Russell from 12 yards.
Russell was making a welcome return to the Darlington goal after missing 10 games with a broken leg and he kept his side in the game when denying Marc Williams, in the 38th minute. Williams looked certain to score when he lobbed the keeper from the edge of the area but somehow Russell managed to fingertip the ball over the bar when a second goal for the visitors would have proved decisive.
Darlington looked disjointed and it was a surprise when, in first half injury time, they grabbed an unlikely equaliser. Striker Tommy Wright was brought down inside the area by Wrexham keeper Michael Ingham and Wright picked himself up to fire in from the spot with a low, hard drive.
In the second half the home side went close through midfielder Ricky Ravenhill, who saw his shot well held by Ingham in the 47th minute. But the visitors were soon back on top and, in the 54th minute, Chris Llewellyn fired narrowly wide with a shot from the edge of the area.
Spender was replaced on the hour mark by Matt Done and he received a well earned pat on the head from manager Brian Carey.
The visitors ended the game strongly and, in the 79th minute, defender Lee Roche moved into attack and went close with a long range effort that had Russell scrambling across his goal line.
As the game came to a close Lee McEvilly should have grabbed the winner but, with Russell well out of position, the big Wrexham front man saw his chance lost when Darlington defender David Wheater came across to deny him with a last-gasp challenge that gained the hosts an unlikely point.