OK, this is not good news, but at least there is a fix.
The problem has to do with the special database encoding that is needed to make these special characters work. It was set up correctly on the old server, and for some reason I thought, or rather imagined, that it would work well on the new server. More work will have to be done to fix it. However, having done it once – in the distant past – I can figure out how to do it again.
Thanks for letting me know.