Different Network Names
Sometimes you will run into a setup where they have different network names on the same network. It is a common thing for this to happen, especially if they have wired and wireless connections. The name plays no significant role, what you have to find out is:
Is there any networking issues? Can you map drives to the server? Access the internet? Ping other computers on the same subnet?
Are all computers are on the same workgroup/ domain?
Is there any special Firewalls or Anti-Virus hardware/ software that could change network names? Note that it could be the sharing configuration settings are off on different computers, see below.
Windows 7 P2P Networks Have 3 Sharing Configurations:
HomeGroup => Works only between Win 7 computers. This type of configuration makes it very easy to Entry Level Users to start Network sharing.
Home Network or Work Network => Basically similar(and better) to the previous methods of WorkGroup sharing that let you control what, how, and to whom folders would be shared with.
Public Sharing => Public Network (like Internet cafe) to reduce security risks.