When you're copying a virtual machine to another computer, you generally just need to move the virtual hard disk (.VHD) file. The other computer will need to be running Virtual Server, of course, but you can usually recreate the virtual machine's settings on the new installation of Virtual Server without too much difficulty. Other than that, you need to make sure that the virtual machine being copied has been shut down completely before you attempt to copy its .VHD file(s), or the copy will be in an inconsistent state when it's started up.
If the two copies are not running at the same time, and never will be, then SID issues should not be a problem.
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