If I bought a songbook called "Songs popular in the pubs of England" and it contained a few songs by Tom Paxton, I'd be agreeably surprised and pleased.
And I don't know about Schooner Fayre, they may be a great group - but if they don't have John Connolly as a member, they've got no claim to the Fiddlers Green he wrote (mind, there's another one in the DT, maybe they wrote that...), and I know he sees himself as English enough. (Mind, like Phil Colclough and Ralph McTell, I imagine he'd be eligible to play football for Ireland, for which you need a grandparent born in Ireland, as well as the ability to play football).