Thanks for all the replies and advice!
I got a set of warm (3000K color temperature) bulbs for the cold head. Luckily, the Omega takes regular, strait tubes, so it cost about $10. That was before I started testing them and found that none of them would start. Starters are about US$0.40 on the net...but about $2 each from the hardware store! I got them and found that they didn't help. A closer look showed that there is a lever built into the head to keep the bulbs from starting when it is taken apart! Ah well, an $8 lesson.
So, I have new bulbs, a new cord (the original looks to be really old. The shock I got indicated that it should be replaced!), but no time tonight to try it with the variable grade paper.
So, with luck, I will have some reasonable prints shortly!