Q: how to change name of the owner on the iphone

Not sure what you mean.

You can change the name of the iphone.

Open itunes,  double click the name under devices, type what you like.

If you mean that you want to change the name of your phone, see http://support.apple.com/kb/HT3965.

If you mean the way it says "Johnny Apple Seed's iPhone"?

If so, you have to edit the information for the credit card. (It sounds weird, but works)

1. Tap Settings
2. Tap iCloud
3. Tap Account
4. Tap Payment information
5. Change the "Name on Card" to the name you want it to be. If it's Jane Appleseed's iPhone and it needs to be changed to Johnny Appleseed's iPhone, then change the first name from Jane to Johnny.

Simple as that. Hope this helps.

Do you mean you want to change the Apple ID & password have you had the iPhone from new?

BSYDD Uk

You are responding to a post that is almost two years old.  I suspect the OP has moved on by now.