Import Questions/Comments and Comments appear as anonymous

I’m importing questions and comments as the “Questions” post type.  This works great except that the comments are coming across with name as Anonymous (see below).  I know the comments have at least their name.  I’d like for the name to show up at least even though I realize the comment does not have a registered user.  I still want to require registration to comment on the site though outside of the importing of content.  How do I fix this?