Regarding the metrics and the melody, the version common in Ireland and Britain ("Oh my name it is Sam Hall, chimney sweep...") appeared to be based on the tune "Ye Jacobites by Name". Sam Hall, Wikipedia

From the discussion on http://www.joe-offer.com/folkinfo/songs/130.html Display Song Jack Hall

Source: Kennedy, P. Folksongs of Britain and Ireland. London: Oak Publications.

Frank Kidson wrote: 'Jack Hall was a notorious burglar. He was sold when a child to a chimney sweep for a guinea, and executed in 1701. In the eighteen-fifties a singer named Ross sang a version Sam Hall, with a very blasphemous chorus. This drew a big audience of a certain kind.' Another song with the same tune and word pattern is Captain Kidd, executed for piracy in London in the same year. While Hall was hanged at Tyburn, Kidd was hanged in chains in Execution Dock, Wapping. The same pattern was used for Admiral Benbow, who was wounded in action off the West Indies the following year.

In the JEFDSS for 1940 there is an article about this pattern of songs, including The Diggers Song of 1649. Following these four songs are others such as The Moderator's Dream (anti-Jacobite and anti-Papal), Ye Jacobites by Name which was improved by Burns), Aikendrum (Ken ye How a Whig Can Fight?), A Young Man and a Maid (a bawdy D'URFEY: 1707), Admiral Byng (executed 1757), the American captain Paul Jones, The Praties they are Small (Irish famine song) and various Welsh and Methodist hymns.

Collected from Jack Endacott, Chagford, Devon. 1954. Tedburn Hill in this song is a local Devonshire adaptation from Tyburn Hill (near Marble Arch in London) where public hangings took place. Tedburn St Mary is a village not far from Chagford, where the song was recorded.

Strangely, just last week I attended a funeral in Chagford for my cousin in the Endacott/Perryman family. Can I hear something in common with The Shearing's No' For You family of songs too?