Here are some initial thoughts. Assuming that she starts working at 8 AM, then the computer locks up after 6-7 hours of using the windows resources.
So it's either the hours of use that makes it lock up.
or
Some "scheduled" task makes it lock up.
or
Perhaps a virus is infecting the system that runs itself at 2:30 causing the lock up.
or
Something else causes it to lock up.
Just for grins, change the system clock to run 2 hours ahead of real time. Then, if the computer suddenly locks up at 12:30 real time (but 2:30 adjusted computer clock time) instead of 2:30 real time, then you know there's a scheduled task of some sort causing the problem.
I would suspect, however, that after 7 hours of use, her Windows 98 isjust getting worn out. Windows 9x should be rebooted occasionally anyway just to restore the resources.
Have you tried a Windows "tune-up"? Run a virus check program. Delete all temporary folders and files. Delete temporary Internet files. Run check disk, scan disk - delete .chk files. Empty the recycle bin. Run scan disk and disk defrag. Minimize the programs being run in the start up menu. (I've seen a lot of Windows98 machines on which users have installed that popular flag program, and its locking up the system all the time - the one that shows the little waving flag in the lower right corner.) Get rid of the unnecessary resource hogs. Why does she use media player all the time? Get a radio/CD player for her desk.
Here are some links to articles describing ways to optimize Windows 9x systems.
http://www.davesite.com/computers/windows/
http://www.windows-help.net/windows98/tunetips-idx-nf.shtml
REMOVE SPACES from the pasted URLs.