Shawn,

I assume you mean the shadow that the flash causes. The best way to get rid of this is to use a flash that you can aim at the ceiling so that your subject is illuminated by the reflected, diffuse light, rather than direct light.

You can also try having the people stand further away from the wall. But the best solution to alleviating flash shadows, IMHO, is to loose the on camera flash and get one on a bracket that is able to be pointed down and away from the subject. The ceiling bounce will also work, but be sure to use a 3x5 file card rubber banded to it so that some of the light will be pushed into the subjects' eyes. Bounce flash can cause a shadow from the brow to darken the orbital socket.
This problem is not exclusive to digital, btw.

Too much speculation and no additional information posted as to what is meant by ghosting. I'd like to see an example because I can't picture what would differentiate film from a digital camera when using a flash, if the equipment is used properly.