Yep, I've never found a belemnite phragmocone yet down at Folkestone. The type we get down there are Neohibolites
, Albian Cretaceous, and somewhat boringly are the smallest known form of belemnite, as far as I know. The guards are exceptionally well preserved and lie completely free of the clay matrix; they can be collected by the dozen in the beach shingle. The phragmocone being delicate in nature has no sturdy rock to support it and is completely worn away; a pity, though the socket it fitted into is often well preserved.
I wonder if Neohibolites
is a catch-all genus? Although the guards are all about the same length, about 30mm or so, there is a great variation in the shape of the tip of the guard. Some are pointed, some conical, some rounded. Odd.