And vegetable oil/biodiesel will burn very poorly in a kerosene lamp. It's a heavy oil and travels up wicks poorly, hence why the old whale oil and lard lamps were made to heat the oil up so it would flow better (that whale oil lamp above, it has two small round wick tubes that go into the font to heat the oil, the lard lamp has a copper air tube in the center of the wick that serves the same purpose). Kerosene lamps are designed to not heat the oil up too much since that can be dangerous (particularly in the 1800's when oil refining wasn't too good).
Long first post but the thread caught my eye.
Great post and photos.
Question, and this question is aimed at the use of "bio-diesel" or VOME (Vegetable Oil Methyl Esters) oils I don't often use Soy or "bio-diesel" because there are so many other uses for this product (it can also be made from other fatty products like animal oils), I bring it up because it is possible to make "at home" and it has a long storage life when stored in an airtight container - it also produces a "better" more pure product the longer it sets and settles (after water washing). It is an excellent solvent (what I am most familiar with). We often think about vegetable oils because it is often made from old recycled fry oil...
It can be a dangerous product because it can self-combust, particularly when on rags (like linseed oil).
So:
Long storage life and stays in a liquid form at lower temps than "just oil"
Fairly simple to make
Recycled base product is inexpensive to gather (sometimes free)
Multiple uses (fuel, solvent, lubricant)
Any lamps that can use it effectively? Can it be used to "cut" other lamp fuels to extend them, like cutting kerosene to make it last longer?