To delete a single Address Point from a stacked set of points:

• In the Edit Tool, ensure that Address Points is your selected Feature Layer 

• Click the Select Tool from the Edit Toolbar

• Click and drag a box over the stack of Address Points

• Under Feature Attributes in the Edit widget, use the 'Choose Feature to Edit' drop-down to select a single Address Point.

• You may view the attribution of the selected feature to verify you have the Address Point you'd like to delete
• After you confirm that you have the Address Point you'd like to delete, click the down-facing arrow next to the Unselect button and click Only Select This

• Now, only the Address Point you would like to delete will be selected
• Click the Delete tool in the Edit Toolbar

• You will be prompted to confirm your deletion. Click OK to confirm or Cancel to go back.