Reinhard Zierke's Mainly Norfolk site is always a good place to start when seeking revival versions:

Mainly Norfolk: The Bramble Briar

That page lists several recordings of 'Bramble Briar' (as opposed to 'Bruton Town' etc). Lloyd and MacColl appear to have used a modal tune from George Whitcombe, but I'm pretty sure this is the Penguin tune you're looking for:

Lou Killen: The Bramble Briar