My son and I each have accounts on CC. I was trying to log out today so he could sign in, but I could not do it. I pushed the log out button but it just kept coming up under my name. I believe Warblersrule86 mentioned a similar problem a few days ago. (I tried under AOL and Internet Explorer but the results were the same.)
Every browser has some kind of “delete cookies” feature. On IE, it’s under Tools - Options.
Or, you can figure out where the browser stores them and use your file manager to delete the specific cookies you want to remove. Removing all cookies is fast and virtually guaranteed to work (and it gets rid of ad tracking cookies, too), but you will lose stored logins for other sites.