Warren --
I'm a little fuzzy on where you metered to in the distributor -- you say from the brass concave coil primary screw to the "first point" with points open and you get a short. Where is "first point?" With points open you should get an open from the coil primary screw to ground (dist. chassis.) You should get 0 ohms when points are closed. If you have an analog meter and spin the dist. slowly you should see nice sharp response on the meter needle as the points open and close.
You might have a defect that is shorting the coil primary circuit to ground -- could be the brass strap from the screw to the point strap, the condensor, a stray bit of wire, etc. I'd remove all, clean, dress / replace points and carefully reassemble. The fault is definitely in the dist. assuming the above is true with dist. on the bench.
Hope this helps,
Pete P.
Harborcreek, Penna.