After the installer completed and the CD ejected, I rebooted the machine and
it booted strait into the graphical interface without any requests for
firmware. At that point I verified that eth1 (the pci card) had an IP
address and I pinged a few sites. When I moved the ethernet cable from the
pci card to the onboard RTL8111 adapter it just worked. I had an IP for
eth0, pinged a few sites, checked my email...
It seems to me that perhaps the installed system had patches that the
installer did not include, or perhaps the installer was prompting for
firmware that it should not have needed in the first place...