Just hooked up my new computer the other day, and, as was suggested by all of you helpful people, I used SuperDuper to copy back all my files to the new HD from my firewire drive. Time Machine then did a backup on another drive. I am finding that periodically, I have a failure of Time Machine to back up. If I then click on "backup now", it works. I looked in the backups folder on the Time Machine drive, and discovered that there are two folders, one for the original iMac, and one which says iMac 2. One ended with the last day I used it on the old computer, and the other starts with this new computer. Is this part of the problem, and what do I do?