Hurray! Shouts out to Frys Guy!!!!! I got my Gateway back running after using his Alt-F10 tip. A lot of useless searching (much of it a Gateway) and finally came up with that useful tip. My compurter started to reset in the middle of the boot processs. I had tried a lot of different things; F8 and Repair your computer, Repair Startup problems, downloaded a Rocovery CD, etc., and nothing seemed to work until this method.
This tip was not in my Gateway starter guide. What they had written for getting the Recovery Manager was not correct.
After the initial boot screen (with "<F10> for boot menu" at the bottem) disappeared I pressed Alt-F10 and after a minute got a "Gateway Recovery Management" screen with a "Restore from factory default" option. This loaded the system partition (C:) from the recovery partition (hidden). It does wipe every thing out on the C: drive to be like it was when new. (Just to be safe I had made Ghost images of the all hard drive partitions before hand so I could restore them to their sickly state if needed.) Fortunately I had created an extra partition on the hard drive when I first got the machine and put all my work on the non-OS partition (D: drive), and none of that partition was affected during the restore operation. Of course I had to re-install my applications on C:, but everything is running right again.
Now I'm going to make those recovery DVDs in case the recovery partition gets damaged.