Bob,
1. Find a washer bigger than the fixed cup. (If you can't find a big enough washer, just drill a hole in a piece of steel or aluminum plate.)

2. Put your Park tool on the flats and use your big bolt and the washer to keep the Park tool from slipping off the flats.

3. Beat on the end of the HCW-4 with a wooden mallet.

This even works with my much abused, 20 year old Sugino tool.

BTW Be aware that not every fixed cup is going to come out. We had one Raleigh where we put one of my fixed cup tools in a vice and two of us applied so much force the frame failed at the BB, but the cup never moved.