From browsing the limited resources on this card online, I've tried a few things.
First, I edited /etc/pcmcia/config to bind the "axnet_cs" driver to the adapter, rather than the original "pcnet_cs" driver. One user of Debian Sarge said this fixed the problem for him.
Next, I edited /etc/pcmcia/config.opts and added this to the end of the file:
card "Fast Ethernet 10/100 PC Card"
version "Network Everywhere", "Fast Ethernet 10/100 PC Card", "3.0", "AX88190"
manfid 0x0149, 0xc1ab
I then blacklisted the pcnet_cs driver, and that is working.
From the output at startup, the axnet_cs module is being loaded. The system also recognizes the card as a networking card and begins to try to set it up with ifup, and then suddenly stops and returns a message that it is ignoring. I've managed to roughly copy down the output:
pcmcia found starting cardmgr
starting version is 3.2.2
socket 0 fast ethernet 10/100
executing modprobe 'axnet_cs'
Note: /etc/modules.conf is more recent than /lib/modules/2.4.31/modules.dep
exectuing ./network start eth0
debian network setup
setup /sbin/ifup eth0
ifup ignoring unknown interface eth0
Network device eth0 detected, DHCP broadcasting for IP (Note: /etc/modules.conf is more recent than /lib/modules/2.4.31/modules.dep)
Autoconfiguring devices.... (Note: /etc/modules.conf is more recent than /lib/modules/2.4.31/modules.dep)
What should I be trying next?