will PSE recognize the facial data (that LR 6 recognizes) and display them fully (names and rectangular face regions)
Thank you dj.
Is there anything that I can do in the image files to fix it?
If I'm working on the files in any case, I'll be able to do a little more and make them comply with both LR and PSE.
Fix what? This isn't broken, it can't be fixed.
The idea of sometime in the future of moving your face names from Lightroom to Photoshop Elements requires a "feature" that doesn't exist. In my opinion, you'd be better off planning to use Lightroom for the forseeable future, instead of planning to revert back to Photoshop Elements.