Hibernating Computer But Then "comes Back Alive" Automatically?

Got an XP S2, with 256M of RAM, 2 hard disks of 40 meg each. For over 2 years, I've had it set to "When I press Power Button, go to Hibernate." Worked great, avoiding godawful long reboots.I rebooted when updating or installing, and very infrequently, when things choked up the machine.Nothing else is wrong I've run a couple of virus checkers, a couple of Register cleaners, and some clean-up disk utilities. Nothing negative, but no effect whatsoever.

I've gone into Power Settings from Control Panel. Several times I took it out of the Hibernate instruction, rebooted, and put in back into Hibernate mode. No luck.I did the same thing, only setting it to Total Off, to Restart, to Ask Me What to Do, and to Go to Standby. After power off, reboot, and later reset to Hibernate, no luck. It continues to "UnHibernate" after a minute or two of darkness & inactivity, when it's supposed to be hibernating.