Sorting by Capture Time should let you rename while keeping the images in the same sort order.
These files are digitised images from transparencies & negs. There are several versions of most, made at different times so sorting by capture time doesn't group them in any helpful way. The filenames for each different image version are mostly similar which is why I need this to be the sort criterion.
Not relevant in this case but for some reason some/most of my jpg derivative files have the capture date but not the time so capture time sorting doesn't do much with these files. These jpg files are quite old & I suppose I must have missed a setting in P'shop back when they were made.
David