Win 95 is 99% like 98. No need to upgrade.
I'm doing this from memory, so if I get it wrong or it isn't clear, then just ask for more help. On the Win 95 machine, go to the Control Panel, click on Network, under "The following network components are installed" make sure "File and Printer sharing for Microsoft Networks" is installed. If not, click Add, then click Microsoft under manufacturers, then click "File and Print..." under Services, then ok. After rebooting, on the Win XP system, you should see the 95 machine under network neighborhood. To "share" the drive on the 95 machine, you can right-click on the drive under "My Computer". That will bring-up a box where you can click on a tab labeled "Sharing". Give it a name under "Shared as," and then you should see the drive on the XP machine.
Sorry if I messed-up the above. I don't have a Windows machine here to try it on. If you still have trouble, ask again. My great-nephew lives about 200 yards from where you work, so I could get him to help if you really get stuck.[:)]z