Yes, my Apache server is successfully hosting 2 different domains via HTTP.
At this point, I should apologize because - due to some clumsiness with this community help site - I ended up starting a second topic with the same exact subject. It would probably be better to discontinue this topic right here, and continue the discussion in the other topic.
I'm still waiting for some advice on how I can get it to work with HTTPS. It may well be just some fine points of Apache configuration, but, so far, it has eluded me.