From "Foundation Engineering," by Peck, Hanson and Thornburn:
"The net ultimate bearing capacity qd is defined as the pressure that can be supported at the base of the footing in excess of that at the same level due to the surrounding surcharge."
From "Foundation Design," by Teng:
"net ultimate bearing pressure, psf, = pressure at bottom of footing in excess of the pressure at the same level due to the weight of the soil immediately surrounding the footing."
So, you CAN subtract the weight of the soil overburden from the calculated bearing pressure, IF you used the weight of the soil as part of your dead load.
DaveAtkins