This capacitance is between body and the rest of the universe. Actually its a sum of all the discrete capacitances, between the body and the walls, between teh body and the electric wiring, between the body and whatever appliance in the room, dominated by capacitance between body and earth.
The body itself is not the source of noise. The body is an armature that defines two dominant capacitive pathes. One between the actual source of noise (in most cases the electrical wiring, and another between the body and the equipment that is subject to the resultant electrostatic field.
Touching a grounded part makes the body equipotential with it, so it doesn't radiate.
The body is a "secondary source", as in the Huygens-Fresnel principle.