I don't think the sex determination problem is so puzzling, many South American monkey species have unusually large external female genitalia and this species also has relatively long hair on the belly and there is a significant overlapping in the morphometric data of adult males and females. The EAZA guidelines recommend manual examination of the genitalia of capuchins for sex determination, so I don't think the problem is restricted to this species.
I don't have all the relevant Chester Annual Reports so I can't tell the complete story, but I have several figures from animal stocklists compiled on 31st December each year (
@bongorob probably has more details).
1998 2/2
2005 4/1
2010 8/1/1 this seems the maximum group size, before the sex determination problem was appreciated
2013 4/1/3
2016 3/1/3
2018 3/1/1 the latest published figure
It appears that there has been a birth in most of these years, but 2 deaths in 2018 were the only ones I have seen in the records. I don't know where the original animals came from or any details about animals sent to other collections.
To the best of my knowledge, the group has been kept in four different locations in the zoo. First on the old gorilla islands beside the Tropical House (now modified for red river hogs). Then on the island in the canal, opposite the onagers. Thirdly on the island at the other end of the Tropical House, shown in the photo above, and finally in the last enclosure in the Monkey House. I don't think I have seen them since the fire in the Monsoon Forest when the big group of crested macaques had to be moved back into the Monkey House. That may just be bad luck when I have visited or they may be in the zoo's large new off-show area.