I solved my problem by downloading the latest WD Backup software. I was previously using the old version that came with my Passport drive. I uninstalled the old version before downloading the new one.
Then, when I opened the new version of Backup to install it I was given the option to restore my backup to my new computer. It worked well although was a nightmare to figure out in the first place. If you just install and click restore from the system tray you will continue to get the message that there are no files to restore.
This link might help you.
https://support-en.wd.com/app/answers/detail/a_id/5207/kw/restore
