Why is my music downloaded from my iPhone 4S going to my other devices?

I keep on downloading music from my iPhone 4S and it goes to both my computer and the family computer. I don't want it going to either computer. All of the settings that enable the music to go to other devices are off. What's going on here? How do I fix it? Thanks!

Added (1). ICloud's doing this? So basically the only solution is to go on the computer myself and delete them manually, right?

If the devices all share the same Apple ID, the chances are the music/apps you put onto your phone will always go onto the other devices.