Thank you for the guidance. Your interpretation of the configuration is correct.
I ran lspci -k in BT3 and got the following:
bt ~ # lspci -k
lspci: invalid option -- k
Usage: lspci [<switches>]
so I tried lspci -v and got the following related to the ethernet and wireless:
02:08.0 Ethernet controller: Intel Corporation 82801DB PRO/100 VE (MOB) Ethernet Controller (rev 83)
Subsystem: Sony Corporation Unknown device 8140
Flags: bus master, medium devsel, latency 66, IRQ 9
Memory at d0200000 (32-bit, non-prefetchable) [size=4K]
I/O ports at 4000 [size=64]
Capabilities: [dc] Power Management version 2
02:0b.0 Network controller: Intel Corporation PRO/Wireless 2200BG Network Connection (rev 05)
Subsystem: Intel Corporation Unknown device 2753
Flags: bus master, medium devsel, latency 64, IRQ 9
Memory at d0201000 (32-bit, non-prefetchable) [size=4K]
Capabilities: [dc] Power Management version 2
I couldn't see anything relating to kernel module or drivers though.
I'll see if I can get BT4 to work. I suppose my alternative is to get a USB or PCMCIA wireless card which will work. I'm based in the UK so would prefer to get something here, rather than have to order from the US (with additional shipping charges).