Well, the way to stop it staying logged on would be to delete the neworderonline cookie...
That depends on which browser you're using and also where the "Temporary Internet Files" folder has been moved to!
Mine, for example is in this long winded folder (for IE):
C:\Documents and Settings\username\App Data\Local\Microsoft\Windows\Temporary Internet Files\
(where username is the name you use to log onto Windows)
When there, find the file (if you can see it - it may be hidden):
cookie:username@neworderonline
Delete that and restart IE...
