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Welcome to the TenForums @clubairth
Are you using Homegroups to share information or are you logging on to machines to share?
Are all the machines in the homegroup?
If you look at this article it appears that Clubairth1 is part of a homegroup and I would say clubairth2 is where you set the homegroup up.
Everything You Need to Know About Using HomeGroups in Windows
Ken
Um... I don't see the issue. What exactly made you think that computer names are different? In both places in your screenshot I see exactly the same computer name - CLUBAIRTH1. The highlighted Clubairth2 part is not a computer name. It is your network name. It is the network that hosts your current homegroup.