It is true that many substances that can burn, such as perfume and linoleum, are derived from living organisms. However, your initial statement was far too broad and fails to take into account the numerous other materials that can burn without ever having been alive. For example, you failed to mention the plethora of flammable inorganic compounds, such as magnesium, calcium, and titanium, which can all be ignited without ever having been part of a living organism. Additionally, you seem to ignore the fact that many solid and liquid hydrocarbons, such as naphthalene and paraffin, are also flammable and have never been part of living organisms.
Furthermore, your implication that the only way a substance can burn is if it was once alive is simply false. A wide array of materials can burn due to other factors, such as the presence of oxygen or heat. For instance, when one lights a match, the sulfur in the matchstick ignites due to the heat from the striking of the match, not from the sulfur having been part of a living organism.
In short, there are far too many counterexamples to the statement that any matter that can burn in its solid or liquid state was once a living organism for your hypothesis to be considered true.
