Hi all,
I don't know how many people will need this, but I just realized that you can edit Django's SITE 1 and (probably, 100% untested but I'm going on the clock so want to get this done quick :-) use that.
When you add your first domain, there's a link in that page (not a button, a link!) to edit the domain list. Then you can click on the link to "example.org" in the list, and edit both display name (which I assumed) and the domain name.
Maybe I'm just slow, but I've been adding SITE 2 = "Whatever site <whatever.tld>" the whole time. :-) But then you have to edit the SITE = 1 statement in settings.py (which I often forget and hilarity ensues).
Of course adding a web site and editing settings.py (which you have to do anyway for other variables) works too, but this seems cleaner to me.
Steve