How to change Name on Caller ID?

If it is different than what deggie asked, explain. Where are you seeing that your Caller ID is different? Like deggie says, and in addition, if someone you called has you in their contacts, then that is what is going to appear on their phone, not your Caller ID.

If you are referring to the name that shows up on someone else's phone when you call them that is completely under the control of the cell service provider, there is nothing you can do on the iPhone to change it.

Contact your carrier about your Caller ID.

You're welcome.