Thanks to the three guys that responded. Nick Cox wrote:
-ranksum- works quite well in this situation.
My understanding (which I think is confirmed by Roger Newson's answer --
see below) was that since I have paired observations Ranksum would be
inapropriate.
Roger, should I understand from your answer that there are tests taking
into consideration what I am talking about but that 1) I have to read your
thesis to learn about it, and 2) that it wouldn't be trivial to code? We
can move this discussion to direct email if that is more appropriate.