I have exactly the same drive at home.

Try as root:
lsmod
and look for lines containing "ppa" and/or "imm". If you can't find them, try:
modprobe ppa
modprobe imm
You will get an error message on one of them. The one that was successful will spit out the device file for your ZIP drive (/dev/sda?), probably something like /dev/sda4.
Once you have the device file, you can:
mkdir /mnt/zip
mount /dev/sda4 -t vfat /mnt/zip
if you already made a mount point (/mnt/zip) for your zip drive, substitute /mnt/zip with it.
Well, that's the general 411 with parallel port ZIP drives. Hope this works out for ya. Just FYI,
lsmod lists modules (drivers) loaded into the kernel, and
modprobe tries to load new modules into the kernel.