Yes, the tulip module is standard in (AFAIK) all the 2.4.x kernels. modprobe tulip should load it if it isn't already. You can then check to see whether it's working with ifconfig eth0.

You can fix the mounting problem in the future by editing your /etc/fstab file like so:

/dev/fd0 /mnt/floppy vfat noauto,user 0 0

Then all you have to do is mount /mnt/floppy and you're in business!