@Sandman - I'm willing to believe that Pete Bullen's grandfather wrote Fakenham Fair and therefore it's not "trad", but I just can't believe that Bellamy wouldn't have copped to writing it if he had.

There was also an evening in May 1965 with Peter Bellamy and Pete Bullen that my aunt found (subscription to newspapers.com needed, which I think my aunt has via ancestry.com) after taking this as a challenge to find out if Pete Bullen was a complete fiction.

There's also a review of Bellamy performing at Studio Four by Richard Nash where he talks about the fact he's been trying to find Pete Bullen but can't.