Could NOT open SSMS to connect to SQL Server - Problem was a lack of space on server

Today I needed to connect to a remote SQL Server as a co-worker was getting an error when she tried to connect with SSMS to our databases on that server.  As she was using RDC to connect to the server and using the local SSMS to attempt to connect to the databases, I tried using SSMS from my local system to connect directly to the SQL Server 2008 R2 on the Windows 2008 Server.  I got the following error.

The problem ended up being a lack of space of the C:\ drive on the actual server.  No where did we see that space was an issue.  However, in the future, when I get an error like the above I will go back and check the space no the server.