Hi Jack, I had a similar problem with a Gillott. The cups came out ok and
went back in their 'proper' sides ok too. I have not ridden the bike since
its rebuild - too much snow, ice and salt on the roads but it takes an
adjustment ok. Try it and see.
Photos here on flickr http://www.flickr.com/photos/makfreak/4184199289/in/set-72157622998947070/
Mark Stevens Evanton Scotland