I would suggest the following: get a Firewall (there are decent free firewalls out there. Anybody care to give us a link to one?) and set it to block everything and anything. If it detects that something is trying to gain access to the net (except from IE) then there's probably some malware that spybot hasn't taken care of.

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iMac G4 OSX 10.3.9
RAM 256MB
LW 4.10.5 Basic
ADSL anything from 3 to 8Mbps/around 1024kbps

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