Q: When trying to sign in to iTunes I am being prompted to enter a password for an Apple id which I did not create

Hi, olive.fullergmail.com.  

Thank you for visiting Apple Support Communities.  

I understand that your iPhone displays an unknown Apple ID.  This can happen because of a couple reasons.  Don't worry though, you can change the Apple ID this is showing on the device by going through the steps in the article below.  

Sign in with a different Apple ID on your iPhone, iPad, or iPod touch

Cheers