Without looking at house deeds is it possible to tell who owns a fence dividing two properties. I was always under the impression that the 'good side' of the fence(i.e. the side where you cannot see the posts/frame, only the panels) would be facing the owner - unless the fence faced out onto a public road/path, in which case the 'good side' always faces out.
My Father-in-law has told me that there is a law which states if you own the fence the 'good side' must face your neighbour.