|I don't think it's a malware issue.|
I have run Spybot and Ad-Aware on it and keep Spyware Blaster updated, and the computer is run behind the Windows Firewall. It also has the latest version of AVG Antivirus, with auto-updating.
Also, since posting, I ran the Network Diagnostics under Windows Help and it lists network connectors as Failed. I don't know what else to do to follow this up.