BDAqua:
Thanks for everything! I'm going to call this one "solved".
My question about deleting groups wasn't quite a simple as just "how do you delete" (although I know I made it sound that basic). I should have been more clear. The contents of each of the duplicated groups are different and are sorted differently. So, clearly, although they have the same name, in the eyes of the OS, different groups. I was hoping there was some kind of a slick merge function for groups. Alas, no. So I guess I'm just going to have to manually correct and delete them.
BTW, the multiple merging I did actually deleted a few contact that were unique, which is a drag. The good news is that most (perhaps all, I'm not sure) of the key contact I want to retain have sent me e-mails or texts. So I went through my texts and read message from senders with only phone numbers (i.e. those with no Contact entry). I then created a new contact with the person's name. From there, the OS (or Siri) on my phone is smart enough to recommend things like alternate numbers or addresses it finds elsewhere in Mail or Messages.
So... thanks bunch for your help!