It's an odd thing, but I was convinced that this came up ages ago, and yet it was only yesterday.  That's January for you, I suppose.  It occurs to me that you might have wanted notation for the music rather than the dance, so I thought I'd mention that you can find it in various formats at  J C's Tunefinder.  A search there for Nottingham Swing will find three tunes; two versions of King of the Cannibal Islands, which is the tune most associated with the dance, and one set of Bacca Pipes, which apparently is also used sometimes.