As the New Tavern is not very well marked, he probably means that when he said The Dove. Many people I spoke to, did not know the location of the New Tavern, even less of The Newt, which is another of the 'in phrases' many folkies use, which puzzle newbies.
The same applies to the use of the term 'Sidders' which I loathe, it's both twee, and exclusive.
JM