You need to go look at the contents of each one to find out what's in them, and to see which is the most up to date. Then use 'Import from Another Catalog' to bring the other catalogs in. Duplicate files will be detected, and changes can come in as virtual copies, so you don't lose edits. You'll be merging other catalogs into the most current one and then only using that catalog in the future.
Thanks. I'm assuming it's OK to open the lrcat folders? I'm skittish about things like that. Also, I suspect if lrcat 9 is the most up to date it would be all right to merge the others to it. Oh wait, that's just a preview folder. The real catalog is one of the separate files not in a folder on the lower part of the screen shot, RIGHT? Should I ask a chat tech to log into my computer to sort this out?
Double click on a .lrcat file to open it in Lightroom, or Right Click and choose open. The preview files/folders are .lrdata files.