YAY! It worked. Thanks a million guys. Hairspray worked - who would have thunk, eh?
Extra

for Eric
Here is the long story:
So I go to the pharmacy, and it is a nightmare just as I expected. I counted about 60 different products to choose from. I start reading the ingredients, and one word jumps out on me: Ether.
Back when I used to work at a medical lab, there would now and then be something nasty spilling on instruments. If you think we have a fit when we see a dead pixel or a blotch on our Thinkpad screens, imagine when someone spills a whole vat of nasty on and in a $250,000 scintillation scanner. What we used to do then was to strip out all the circuit boards and bathe them in ether. That was about the only way the fats in the organic stuff would dissolve.
So, when I saw ether (Dimethyl Ether in this case) as an ingredient, I understood
So, for future ink blotchees, pick one with Ether in it. Also, I found out that the ones marked extra hold or strong hold are the old school hairsprays. The ones with less hold actually have some whole other assortment of chemicals to get rid of that hairsprayed look. I finally decided on Dove Extra Hold, and it came in an unscented version as well. The ingredients are listed as: Aqua, Dimethyl Ether, Denat Alcohol, and so on. Some others will have Alcohol as the second ingredient (less ether), and some have no ether. IMHO, ether is the trick.
So, I come back home, check the stockmarket to see if I can afford another TP after I ruin this one and sit down to work.
Although it is probably best to turn the machine off, I did not, as I needed the backlight to see the blotches.
Despite what Eric said about spraying directly on the screen, I did not dare do that, and sprayed on a cloth and started rubbing - NOTHING!
Deciding, in for a penny - in for a pound, I laid down the screen flat and sprayed the screen directly (if you just barely press the nozzle, it drips just on the spot). My heart stopped when I saw the stuff start bubbling (eating into my screen, oh no!). Then I started to see the blotch get bigger and a brighter blue (what the ...?). At that point I rubbed the thing off, and along came with it the blotch. Success!
Did it 3 more times on the other blotches and now I have a perfect screen.
Do make sure that you clean the stuff off before it starts drying. I had one stray drop dry out in the corner and it took some extra stress (which I did not need at that time) to get rid of.
Now my T61p has a new computer name: Pompadour
