To All:
Thank to all. Chemicons, I wish. The brands used are Ltec, Aishi, KY, and Teapo. What appears to be dust is One Hung Low hold down goop. This power supply appears to be less than a year old. It also does not appear to be radically different in design from any other ATX PS. The main difference being it smaller size and long rectangular profile to fit the HP Small Form Factor constraint. These power supplies do not have a good record for longevity, and the replacement cost from 90 to 150 dollars US. HP sticks it to you, because they know you cannot fit an ordinary ATX supply into the case. As far as I can tell the caps used are One Hung Low junk as well. Good luck finding and trusting the specs.
--I think I will just overspec the Caps, and use good DigiKey brands, extend the leads to get to roomier and cooler place, and glue them down so they will not flop around. Then I will hook up the PS to a test bed computer, making sure to draw at least rated power, and let her rip for a day or two. If no problems then I shall pronounce er fixed. I appreciate Mike's suggestion but there is absolutely no spare room for additional caps in the small box. Also, I do not have a working Oscope to use to follow Ahmed's suggestions, so cut and shoot is my solution. This is just an experiment and a learning experience. The time involved in de-gooping, de-soldering, photographing and documenting is considerable. Again, thanks to all for you good advice. More later.
"Reality is merely an illusion, albeit a very persistent one."
Albert Einstein 1879 1936