Added a computer - want it to show computer name, it shows my name

I have the computers in my house on TeamViewer, so I can access them from my main computer.  I added a new one.  It shows up with my name instead of the computer name.  On the new computer, I granted easy access.  Under options, under "your display name", it has the name of that computer, which is what I want it to be seen as.  Under "assigned to" it has my name.  How can I get the new computer to be seen under its name?