OK - I think I have sort of worked it out ...
Something a bit odd is going on regarding how various components are connecting.
If I add the text:
80.76.216.10
www.petticrows.co.uk
to my hosts file I see the staging site on the new server and a virgin ZC install with no products.
If I then remove that line from my hosts file I see a virgin ZC install with my products.
If I view the site on another PC I see the old site as I expected ... old ZC install
Something odd is going on when I mess with the hosts file to re-direct the browser to the staging site.
Any thoughts?