I think maybe the files being displayed was a result of my action using File Sharing in Itunes. I did scroll down in the list of files and actually saw a ST3 backup file. After I removed and reinstalled ST3, Air Dropped a new backup from old iPad, clcking on the Restore, then the backup file, I did get the popup to restore and it proceeded without incident.
All the songs and playlists were restored but the songs view and playlist views showed all them in RED with "Missing" tag.