Get Computer Name - Route 1 – if you have an active support agreement 
 
Find the Reboot I.T. icon in your system tray by the clock, you may need to click the up arrow. 
Hover over it and your computer name is displayed after REBOOT I.T. - 

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Get Computer Name - Route 2

Right click the Start button. This will open a list of choices. Click System, which will open a Settings window. Look next to Device name to find out the answer.

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