Thanks to all of you for your help. Patrick, I think you've got it. <font color=blue>series wound (most likely) or shunt wound</font color=blue>. I have no idea what that means or what the difference it, but from your sketch, I'm guessing you're right about series wound. On this tool, the white wire from the power cord goes directly to the rear brush, while the black wire goes through the switch to the stator, then a red wire (the one that was badly mangled) from the stator to the front brush. I had noticed initially that neither of the brushes seemed to be making contact all the way across their face (scratches in the middle of each one), although they show every little wear.
By cleaning the grooves between the commutator plates and using a little emery cloth to clean the face of the commutator plates and the face of each of the brushes, I got it to running (twice). Just a couple of problems./w3tcompact/icons/frown.gif It ran as long as I kept the switch on, but once shut off, it would not start again, and while running I could, through the vents, see a stream of fire running around the commutator, and when I took it apart again, the brushes had little grooves or scratches on them. Some of the windings just below the commutator appear to be discolored, but not actually burned or broken. Does this mean, as I suspect, that there is a short in there somewhere?
And as far as rewinding one, I'm afraid that's a little out of my league.