After another hour of fiddling with VCR, DVD and TV, we have solved the problem.
1. Put back the old TV connected to the VCR.
2. Put the new TV beside it and connect that to the DVD.
3. Forget about it all and go to the movies tomorrow.
4. Do all of the above before we have cocktail hour.
5. Buy more gin for the cocktail hour.
6. Stop drinking the Bombay and we might get the first two right.