Oops!
After over 72 frustrating hours spent wrestling with the Puke part, my daughter just had a breakthrough. It turns out that if you hit "the lady" six (6) times, you beat the level. I have just been informed that we have just entered the second level. < big smiles >
If anyone has a walk-through (or knows where one is) for Gex, please let me know.
Thanks again.