|Hi Stuart - am not sure your statement is true in all cases:-|
'The eject button is designed to eject a CD when there is no power to do it, For the eject button to work the CD drive must be in good working order.'
On my cd drive, pressing the eject button once, either fully opens or closes the tray under power. Nothing happens when there is no power.
Jeffrey has yet to advise whether it is a laptop or desktop, but my understanding is some laptops do have the hole for manually releasing the tray. You just have to locate it.
Good Luck - Keep us posted.