Consett face an away tie in the FA Vase for the second successive round, after being drawn to play Irlam FC in the 2nd Round.
Based in Greater Manchester, they play in the North West Counties League Premier Division, and are currently 6th. It wll be the first-ever meeting between the clubs.
The tie will take place on Saturday, November 2, and the club will be running an official coach to the game, with details to follow.
There are three all-Northern League ties, with four of the remaining clubs travelling to opposition from outside the league and only Stockton Town at home to a club from outside the league.
The other ties involving Northern League clubs are as follows:
Bishop Auckland v West Auckland Town
Hebburn Town v Sunderland RCA
Stockton Town v Barnoldswick Town
Lower Breck v Shildon
Vauxhall Motors v Ryhope CW
Newcastle Benfield v Guisborough Town
Longridge Town v Thornaby