Through a lot of trial and error, research, and forum help; it looks like iOS 7 isn't very compatible with this game and iOS 8 is compatible.
I have used the iExployer program to restore the CKS1 database file from one iOS 7 device to another iOS 7.
Can anyone confirm whether a game data transfer works from iOS 7 to iOS 8?
BTW; according to ARS Technica "If you have an iPhone 4S or iPad 2, you are still going to radically degrade performance if you upgrade from iOS 7 to iOS 8.1.1. So don’t do it unless you have a seriously good reason to."
iPhone 4, usually.