@Andreas, I tried the MAC driver as instructed, and unfortunately it still won't connect to the network, although the network utility displays that the new driver is loaded (I rebooted to be sure).
@pete, BIOS states that Wireless is enabled.
Here is the relevant section from that command (very useful!)
Bus 2 (PCI), Device Number 0, Device Function 0
Vendor 14E4h Broadcom Limited
Device 170Ch BCM4401-B0 100Base-TX
Subsystem ID 01C91028h Unknown
Subsystem Vendor 1028h Dell
System IRQ 16, INT# A
Bus 2 (PCI), Device Number 3, Device Function 0
Vendor 8086h Intel Corporation
Device 4220h PRO/Wireless 2200BG [Calexico2] Network Connection
Subsystem ID 27228086h Unknown
Subsystem Vendor 8086h Intel Corporation
System IRQ 19, INT# A
So there is wireless. Hurrah! Is the card an OS/2 friendly one?
Note that the wireless card does not show up in the GUI app (see screenshots inf first post of this thread).