The Combo update for Leopard 10.5.8 should be all you'd need to update
an OS X 10.5.x from any step to the last update step; as that had been
a consolidated Combo to include earlier fixes & patches. Then, after a
Combo update, restart, repair disk permissions in Disk Utility, than then
run Software Update again.
Two things, one is: compatible quality RAM tested on Mac computers
and specificially for Macs running OS X. Secondly: hard disk drive free
or unused capacity, since OS X in a PowerPC relies on Virtual memory
that's free space used as swap file temporary read-write system memory.
Sometimes, the applications + OS X need more RAM than is physically
possible to install; and it may not use what it has efficiently.
•Problems from insufficient RAM & free HDD space:
http://www.thexlab.com/faqs/lackofram.html
•Freeing space on your Mac OS X startup disk:
http://www.thexlab.com/faqs/freeingspace.html
This is slow enough, so if the hard drive has little free space and not
necessarily in a large block, the OS X has to hunt and find the scattered
places it can use to write temporary VM files to. At hard drive rates of
speed, so that is also slow.
•Mac Performance guide - thesafemac:
http://www.thesafemac.com/mpg/
•The X Lab: X-FAQs:
http://www.thexlab.com/faqs/faqs.html
Do you have an externally enclosed hard drive in FW400/800 case, with
its own power supply? With oxford-type chipset... suitable for OS X clones?
You could clone the system to an external, if you may want whatever is on it,
then be sure it is a bootable clone by starting up the Mac from it; then go in
and erase/install (over-write drive at least 7-pass) to test the HDD and see if
it really should not be replaced with a new one. HDDs fail after a shorter time
span in a portable, than a desktop. Yet new models can fail in short order.
If temped to try an SSD, see what OWC has in the way of Legacy SSDs for
older portables, as they are most compatible with the hard drive data rate
and the ATA/IDE (PATA) specification. Certain rules tend to apply to using
a solid state drive, instead of a platter & styli hard disk drive.
Hopefully if you have the original grey-label install-restore disc DVD set,
you could run the Apple Hardware Test on the bootable disc, to see if
there is any hardware reason why it could be acting up.
Check to see if there are any "previous system" folders in the Mac,
since they can't be used to run it, but they do take up space... Trash
old previous user-created content, but not system parts, if the HDD
capacity is near too-full. See the link above about freeing space.
Checking Console (utility) for Clues:
http://www.thexlab.com/faqs/checkconsole.html
Not sure what else to say...