Definition:
http://en.wikipedia.org/wiki/ParaffinWhat in the US is called Kerosene is called Paraffin in England, but the reason for the difference is historical. Paraffin was the name for a different substance on both sides of the Atlantic before Kerosene came into wide spread use in the 1860s. When Kerosene replaced Candles (and whale Oil) as the main form of lighting from the 1860s onward, we in the states adopted the name Kerosene, for this new source of fuel for lighting while England expanded its definition of Paraffin for the same substance. Thus what is called Kerosene in the States is called Paraffin in England. This is similar to the term "Flashlight" and "Torch". In England, and the US, a Torch was used for lighting before the invention of electric lights. With the invention of electric lights England just expanded its definition of Torch to include what we in the US called by a new name for a new way of lighting, a Flashlight.
Anyway. this does NOT sound like a Kerosene/diesel/Jet Fuel (All interchangeable) but true Paraffin, which is used to make candles. Thus like a Torch (if you mean a burning light on top of a stick) Paraffin is the same on both sides of the Atlantic (i.e. a base for candle making). Paraffin differs in the States when referring to that new invention in the 1800s, refined petroleum to be burn as a source of light. In the US the new substance (New in the 1860s) is called Kerosene, but the older substance, used to make candles, is still Paraffin on both sides of the Atlantic (and that is the substance in dispute in this article).
Side note: Today, most Paraffin is derived from oil, but in historical times could be derived from fats (including Vegetable "fats" like margarine, and some are even today). It is that fact most Paraffin is oil derived is why the oil refineries were part of this cartel.