Right, having found a half hour of free time, this is what I came up with. I had to link the picture, since it would be too big to put it in the forums.
https://dl.dropboxusercontent.com/u/...izzA320Top.jpg
Some explanation:
I had to estimate the place where the aircraft is resting on the engine pod. While I am pretty certain it is within the red cone, I'd say it is probably within the cyan line and the aft red line.
The blue line indicates where the CoG could be during flight.
NOTE: I am NOT a licensed pilot, so I might have slipped up calculating the actual location of the CoG. (I did do the calculations twice though ;-) )
According to this, if the CoG was pretty far AFT, but still within limits, the theory still stands.
Oh, and copyright for this diagram remains with Airbus, of course.