Dear mcdougme,
Thanks for reaching out to the Apple Support Communities. According to the information that you've provided, it seems that you have already performed a Factory Restore. If the issue persists, I recommend setting up a Genius Bar Reservation at the Apple Store, or the local Apple Authorized Service Provider.
https://getsupport.apple.com
The correct order to click would be:
- iPhone
- Repairs & Physical Damage
- Device frozen or unresponsive device
- You can select to setup the repair yourself by Clicking "Send in for Repair" or Setup an Appointment "Bring in For Repair".