The Tilley lamp is a kerosene pressure lamp.
Petromax was one of the brand names from Ehrich & Graetz. The company used it for their pressurised kerosene lamp that uses a incandescent mantle. They are as synonymous with the paraffin lamp in Continental Europe as Tilley lamps are in Britain and Coleman lanterns are in the United States. Today's company Petromax GmbH sells not only pressurised paraffin lamps lamps but also other products for camping and outdoor use.
A kerosene lamp (also known as a paraffin lamp in some countries) is a type of lighting device that uses kerosene as a fuel. Kerosene lamps utilize a wick or mantle as a light source, protected by a glass chimney or globe; lamps may be used on a table, or as hand-held lanterns for portable lighting. Like oil lamps, they are useful for lighting without electricity, such as in regions without rural electrification, in electrified areas during power outages, at campsites, and on boats. There are three common types of kerosene lamp: flat-wick, central-draft (tubular round wick), and mantle lamp. Kerosene lanterns meant for portable use have a flat wick and are made in dead-flame, hot-blast, and cold-blast variants.
Pressurized kerosene lamps use a gas mantle; these are known as Petromax, Tilley lamps, or Coleman lamps, among other manufacturers. They produce more light per unit of fuel than wick-type lamps, but are more complex and expensive in construction and more complex to operate. A hand-pump pressurizes air, which forces liquid fuel from a reservoir into a gas chamber. Vapor from the chamber burns, heating a mantle to incandescence and providing heat.