Well, I kept the same name and user name of the old computer (exactly, capitals and everything). I checked ownership, have tried changing permissions, inherited permissions, etc, and nothing will allow me to delete even one folder.
EDIT: Correction. Just after posting this message, it occurred to me to go down a few more folder levels and try a root file. There I found an "Everyone" group under Security. I could add full control to that and delete the file, then the folders came with it. However, it's not working on the next folder set.