Hi there tadlow,
Thank you for choosing Apple Support Communities!
It sounds as though you’re seeing that iTunes is not responding during a restore.
You’re in the right place, we’d be glad to assist in seeking a solution.
Below is a resource that can help:
If you can't update or restore your iPhone, iPad, or iPod touch
This resource includes steps that can place your device in recovery mode and set it up again.
For more information on restoring a backup, checkout this resource. -Restore your iPhone, iPad, or iPod touch from a backup
Have a great day!