If you are unable to select the mounting hole I would ensure that I have route mode selected and that mounting holes are visible in display control. Once selected you should be able to open the Padstack properties (Right Mouse Button > Properties > Padstack properties) and modify the X and Y coordinates. The mounting hole has to be unlocked and have not fixed or locked status in order to be moved.
Thanks for the response Alex,
Apparently the mounting hole, as a Net0, was filtered out of the net selection list which prevented it from being selected. Once clear, your technique worked.
I appreciate the assistance,
In the Smart Utilities itself move mounting hole option available. By using this option you can move the mounting hole by using mouse click.