How can I Delete a MobileMe Email Account and Kill Duplicate Messages?

First, thanks for the reply. And, I believe you are exactly right that the names are the same. However, when I go (on my iPhone) as you suggest to "Settings," "Mail, Contacts, Calendars," only two accounts are showing; my Mac account and my Bellsouth one. If I select either, I get an option to delete but the duplicate "MobileMe" account does not appear. It only shows up, as described above, if I:

1. On the iPhone 4s, I click on the "Mail" icon at the bottom of the screen

2. On a screen under the heading "Mailboxes," under "Inboxes," there are two that read exactly the same (I think one is iCloud and the other MobileMe).

3. On the same screen, under "Accounts," I see an iCloud account logo, a Bellsouth/Yahoo account logo and a MobileMe account logo.

It's nutso, I admit, but true. Any other suggestions would be most welcome.

When iCloud became operational, I carefully went through the process and migrated the MobileMe account to it. I agree that the best solution would be to delete the MobileMe on the iPhone but, as I've admitted, I can't find an option in any iPhone menu to do that. So, that leaves deleting, then reactivating the iCloud account. I am understandably reluctant to take that step since I don't want to lose anything, particularly since deselecting "All Inboxes" and simply choosing one of the two duplicates gets me to where I want to be. However, I'd rather fix the problem than rely on a workaround and probably will do as you suggest. Thanks for your replies.

cpj -- I did exactly as you (and an Apple chat-tech) suggested and it solved the problem. Specifically, I deleted the iCloud account, powered down the iPhone, then turned it back on. Success! The duplicate inbox is gone. Thanks for your input.

However, while the above solved the initial problem, I confess to ongoing frustration, albeit at lower levels, with the multiplicity of calendars (home, work, icloud, etc., etc.) and the occasional duplicates still appear, apparently depending on which device I've input an event or which calendars I have "turned on." Honestly, I've tried to pare all of these down to just one -- iCloud -- but for some reason, certain events won't show up unless I enable a second or third calendar. In addition, it sometimes seems that a calendar or two that I've disabled somehow turns itself back on. I know there must be a simple way to tame all of this but no matter what I do, stray duplicates still occur after a sync. I input events from an iPhone4s, an iPad2 and a Mac Air. While I'll continue to try to figure out why these annoying dupes still appear, I must say that it seems iCloud and all attached devices ought to be smart enough to weed out obvious duplicates. I shall press on ...

I just followed the instructions "cpj357" offered:

(to) delete the iCloud account (go to settings/iCloud and select "delete account" at the bottom of the page. Then reactivate iCloud using the same account info.

This worked but, as per my later message in this thread, once in a while I still see an occasional duplicate or two, particularly with holiday notifications. My point was that it seems that the software ought to be smart enough to automatically delete calendar duplicates, not matter how many "calendars" are "turned on." I rarely have problems now because I don't need multiple calendars so I turned all but one "off."