In the meantime, I'll reset the workgroup name throughout the network.
Since it's a workgroup, not a domain, it'll make NO difference whatsoever to rename the workgroup name, as a workgroup's security realm only extends as far as the perimeter of the PC itself. The only benefits you would get with renaming all workgroups to be the same is they'd appear in the same browse list, but since browse-lists and browse-mastering have no place in direct connections it'll be an irrelevance.
(trust me, I wrote a whitepaper on browse-mastering way back in 1996)