@Bill Percival‚ When setting up automatic reminders, you have the option to send a late notification to:
- the Assigned To user
- the user's manager
- the manager's manager
So, depending on what is selected - the user may or may not receive that late reminder email. You can double check by going into Setup > Email > Automatic Reminders to see which checkboxes are currently active.
If you have any questions, let me know!