How to Find a Computer Name for a Remote Desktop Connection
A remote desktop connection allows you to share resources with another computer, such as files and programs. To create such a connection, it is necessary to enable Remote Desktop and have a network connection, according to Microsoft. It is also necessary to know the names of the computers.
Click the Start button and select "Control Panel."
Click "System Maintenance" and choose "System."
Look for your computer name under "Computer name, domain, and workgroup settings." This area shows "Computer name" and "Full computer name."