Disk Utility problem after cloning

[macWish]

I renamed by full clone on the external firewire drive, giving it the same name as the name of the internal HD. I made full clone - backup all files - and then booted the external full clone. No problem booting, but disk utility launched from the external drive still fails to be able to unmount the internal HD. Moreover by having two volumes with the same name, all of the aliases got very screwed up, i.e. an alias in drag strip to a folder on in Documents failed to open the proper folder and seemed not to know whether to use the internal or the external volume with same name.

Update to OS X 10.4.1 did not solve the problem with unmounting internal HD when booted from Safety Clone or from Full Clone or from eDrive on external firewire drive.