Here's what's happening that worries me:

After working with Hotmail for a while (reading & writing emails), I log out.  Everything seems fine.  Half an hour later, or even 5 minutes later, I will utilize IE-11 and go up and  in the address bar I will type-in www.hotmail.com.  What now happens is that the page that opens is NOT the Hotmail "sign-in" page, but my whole Hotmail e-mail collection of folders, messages, etc.  That should not be happening without my signing-in.

I tried this several times-----same results.  Tried to make sure that I didn't say "keep me signed-in" somewhere..... Tried to clear cookies, cache, etc. Same thing happens when I use Google Chrome.