OK, it's up. Thank you guys for helping me troubleshoot this.

lsmod wasn't returning the tulip driver, so I did
lspci
and it showed me that the card is Realtek rtl-8139 It clearly says on the box SFA110A, CD says the module is tulip.

So I
lsmod
again, and sure enough 8139too module was getting loaded.

One thing that I didn't realize is that I needed to reconfigure inet1.conf. I just added yes to eth1 and when I

/etc/rc.d/rc.inet1 restart

for the umpteenth time, it worked.

I guess I thought the new card will be automatically assigned eth0 but it seems like that eth0 is reserved for the my old builtin card.

Thanks again.

Well, it'll be reserved if you have a thing in your modules.conf that says "alias eth0 somemodulethatisn't8139too" or if you're passing some boot argument that has the same effect.