When I first bring up the desktop of my Mac Air it has the message:
"iCloud cannot make connection with firstname.lastname@example.org" (my e-mail address)
Then I go to iCloud from Settings, enter my password, and it
says "This password is not correct."
I have set new passwords three times, and it won't accept them.
The other things on the Mac (software updates, apps, etc.) accept the
latest password with no problems.
On my iPad, too, the iCloud says it cannot connect/function
on the device. I get updates on my apps with the new password.
I don't want to do anything with iCloud except to have
it work like it is supposed to do and has always done before we
installed Mountain Lion two days ago. Everything else works fine.