Aldershot had the first real chance of the game when Roscoe Dsane got on the end of a ball over the top of the defence and held off Shrews captain Darren Tinson, only to drag his shot wide.
At the other end it took a crucial intervention from Dominic Sterling to deny Jamie Tolley after a good surging run from the midfielder.
[1] Aldershot took the lead in the 36th minute when Shots captain Ray Warburton headed on a free kick and McLean powered the ball into the net.
In the second half the Shropshire side should have taken the lead when Luke Rodgers crossed for Ryan Lowe, who blazed over from inside the area.
[1] With the scores level at 1–1, silver goal extra time was required, and Lee Charles had a couple of chances to win it for the Shots.