Family PSN? Like more then 1 person shared the PSN account?

Sorry but once your game is registered to that PSN account all the data and everything with it is saved to that PSN account and as far as I'm aware there hasn't been a occasion where people could change PSN account to another one with same game data since they are linked.

Not knowing the full story behind this family PSN account thing, as long as no one else is using it and you remember the password, email etc all the details you can have the same PSN account on another PS3/4 and still be able to accesses the same game data since it's saved on the servers not the console.