IPhone name is wrong, how do I change it

I got a new iPhone 4S and gave my daughter my old iPhone 3GS. We had problems to start with to do with iCloud and syncing things but we got it sorted except for one thing. On iTunes and in my settings (this is on my phone) it says the phone is under my name, but when I ask Siri what my name is, it keeps saying my daughter's name. And in my contacts, her name is the name highlighted in blue and mine is not. Why is this and how do I change it? Much appreciated.

When you set up an Appel id it will ask for your name if you set up the apple if for her with your name when you sign in with your apple id on your iPhone 4s it will use the name you put on the registration form as the name for your iPhone so it would be like this:
Jessicas iPhone

BTW: Jessica is just an example it was the first name i could think of

You can change this by going onto iTunes click on iPhone at the top corner when it is plugged in and click the name where it says the name of your iPhone just click and then it should highlight the text blue and you should be able to change it

hope this helps

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