If I log in with Firefox, making sure "remember me" is checked, I will stay logged in even if I close a tab and then open a new one to OT.com. But if I close the browser and come back, I am logged out again. I am using FF 184.108.40.206 and XP SP2.
I pulled up the cookies for OT.com, but I'm not really sure what I'm looking at. Would any of that information help Jay?
Edit: I get the exact same results using IE 7.0.5730.13.