Despite the setback, County maintained their workrate and almost drew level when CraigWestcarr latched onto a flick by Lee Hughes and forced Schwarzer into a full-stretch save.
Veteran striker Lee Hughes hit what proved to be the winner for League One County after Craig Westcarr's cross was fumbled by goalkeeper Simon Mignolet, who collided with Kieran Richardson under challenge from Hughes, for the opening goal.
Paul Ince's men could have taken the lead early on, but CraigWestcarr was unable to connect with an inviting cross from on-loan debutant Karl Regan before going close again soon after when Elliot tipped his shot away from danger.