There is no problem with Image files from different PCs just store them in different folders suitably named of course.

I use File History and you would have to do the same sort of thing with different Folders.

Currently I only use one File History, so can't check, not enough spare space to do even a quick try.

The one File History does just go to another suitably named Folder just like the images. the Folder is in the Path indicated by File History.

I see that Sub folders of that are the User name and PC name then all the data.

You will have to do the test, but it should just be selecting a different path to the correct Folder on the second PC.

With a removable drive you should stop the File History on the first PC before changing the drive to another PC. Not doing so may cause confusion.