Devonte Redmond's second-half strike handed Wrexham a share of the spoils in a close encounter at Meadow Lane.
Buoyed by the return of Michael Doyle and Damien McCrory, the hosts had the better of the first half but could not beat Wrexham keeper Christian Dibble.
In the second half County finally got their reward, Kristian Dennis heading the hosts ahead at the back post.
But a depleted Wrexham team battled back, and Redmond's 74th-minute goal earned Bryan Hughes' side a point.
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