Dear Peg,
Thank you very much for letting me know. I have since found a few options, which I write here in case it is useful for others:
1) Technical support pointed me towards
http://forums.arcgis.com/...list-of-polygons-wit
h-their-topological-neighbors
2) ArcGIS resource centre:
http://resources.arcgis.c...18-884B-A053393CEF92
3) Which led me to:
http://forums.esri.com/Th...c=93&f=1742&t=192651
I'm still exploring how to implement these (as I said, I'm a basic user) but I hope they are useful to any one else.
Thank you again for your reply.
With best wishes,
Dan