Take a look at "Odd Happenings part deux" and "Odd Happenings" on this very thread.
It isn't happening now, so I don't have a screenshot to send you; but let me try what llearch suggested and see what that does.
The phrase "Invalid Session" is usually what I get; but the not letting me log off is just weird unless AOL has passed me off to another proxy. Trouble is that AOL is what I have to use with this DSL system; so suggesting another IOS just won't work: it'll still be AOL that does the switching.
Dammit.