Town grabbed the points after they survived an unrelenting first-half assault.
Jamal Campbell-Ryce, Nicky Maynard, Jordan Spence and Jon Stead were held at bay by the remarkable Arran Lee-Barrett in the Ipswich goal.
Lee Martin was dismissed for a late tackle on Kalifa Cisse before the break only for Carson to conjure up a stunning strike and snatch victory against the run of play.
The youngster unleashed a low drive from distance which beat David James to stun the home crowd in the 52nd minute.
Source: PA
Source: PA