Deleting iCloud sharing between iCloud accounts

[Eldiablojoe]

I'm not sure why this is happening, but I want it to stop.

My iPhone 6 (with latest iOS 9.0.2) is logged into my JohnSmith@me.com iCloud account.
My iPad iPad 3 (with the latest iOS 9.0.2) is logged into my MeAndGirlgriend@me.com iCloud account.

Why are my text or iMessages on my iPhone 6 turning up on my iPad 3? For that matter, so are my Notes.
It appears that if my message is in a green bubble (SMS?) it does not get shared between devices, but if the message is sent with a blue bubble (iMessage?) it does.

Still, my notes all appear to be shared also.

I do not want the two devices to share because we use them for different purposes.

How do I disconnect them?

 

[CTHarrryH]

What is send and receive under settings, messages set to - do they both have the same number or email in this setting? OR text message forwarding.

I'd look at all settings and see if any cross numbers or email?

 

[Eldiablojoe]

Interesting. They both go to my JohnSmith at me .com account. I tried to remove the email from both devices, but it won't let me remove it from either. Says "Cannot be removed."

 

[CTHarrryH]

Maybe log out of iCloud and then see if you can delete the email

 

[Eldiablojoe]

Maybe log out of iCloud and then see if you can delete the email

The iPad is not logged into any iCloud account, but is still receiving duplicate blue iMessages but not green SMS messages. What is going on?