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#11
There's a timing issue here; The Computer Browser service only renews its view of the workgroup every 12 minutes.
If you change the Computer Name, then you need to wait 12 minutes to see it in the other systems by the new name.
View Microsoft Network can expand [+] Workgroup and the list of active computers will be seen; this is where the name change occurs.
If you attempt \\newcomputerName\shareName and find you cant access the system, this is also related.