I'm sure there are other variants as well, but buildings on private roads with no name usually get an address based on where they intersect with the closest pub

I'm sure there are other variants as well, but buildings on private roads with no name usually get an address based on where they intersect with the closest public road. If the road is public, it should have at least a number. Almost all public roads have names, and many have two (as some parts of the country are bi-lingual -- it makes address validation quite interesting).