The most accurate is Loake 290, which is very similar to the Herring (Loake and others make Herring shoes). Those are Chelsea boots, Jodphurs is sometimes used for describing a Chelsea, but that is incorrect. A jodphur normally does not have the elastic band, but a girdle and a buckle instead...
The originals name is somewhat of a semi secret, so I am not gonna tell you...sorry :-)
TK boots look the part, but they are White leather and not painted, which makes them less accurate than for instance the Loakes.
I would any day of the week choose a pair of Loakes..for all the reasons listed in my thread....I like high quality footwear:-)