Finally got the chance to have a look at this (working stupid number
of hours at the moment) - I cannot find any reference to WiFi in the
[somewhat limited] BIOS.

It's interesting that the WiFi stopped working when I installed UNR
9.04 (with a network cable connected, rather than the WiFi)

Interetsingly, the battery has also given up the ghost, ironically
around the same kind of time (although, I understand that this is
something that's not uncommon with these Acer Aspire One batteries ...