This is the song on which Ashley Hutchings based his "Calling On Song", which was written for the first lineup of Steeleye Span. Through one of those little quirks of punctuation, there are two transcriptions of this on the DT:
Calling On Song
Neither is entirely accurate, though the second is better, in spite of the fact that it doesn't mention Earsdon (which is in Northumberland) or Hutchings. I sent a midi of the tune to Alan of Oz for the Mudcat Midi Pages a while back; it will appear there in due course. It was made by ear from the S.Span recording, but is pretty close to the original melody. I hope you don't think me churlish pointing out that it's Earsdon, not Earsden! The Earsdon Sword Dance is a Rapper Dance, incidentally; short, flexible steel strips of the kind formerly used to scrape down pit-ponies, rather than the "longswords" still used here in Yorkshire.