Another English concertina duet from me and Joc this month: when Cecil Sharp came to this area in September 1907, he visited a fiddler in Shepton Mallet Union (that is, workhouse!) called James Higgins. Among other tunes, he collected these two, noted as Shepton Mallet Hornpipe and Radstock Jig. (We live about 7 miles from Shepton and 3.5 miles from Radstock.) The first tune sounds like a variant of Dorset Four Hand Reel. It was still being used to accompany local stepdancers on the Mendips several decades later and was collected again in the 1970s from local harmonica player Jim Small from Cheddar. (Geoff Lakeman learnt it from Jim and does a nice version on Crane duet.) You can hear Jim Small's version here.
The second tune is a jig in the old sense of "dance tune", not as we use the term today. John Kirkpatrick has described it as "one of the most extraordinary tunes Cecil Sharp came across." It is known in Ireland and elsewhere as Poll Ha'penny. There's a great version by fiddler Bobby Casey somewhere on the net.
I'm not sure what the step dancers at the Hunter's Rest in Priddy would make of our version, which is based on my arrangement for the Old Somerset Russets village band.