The lamp is a plain old, what we always called a coal oil lamp without the globe. It gets black smoke all over the metal parts and when you tap it with a wooden mallet it leaves a black mark so you know where you need to remove wood.
As far a chisel sharpening, follow the angle on the tool and use a very fine stone with oil. The curved blades require a little eye balling and rocking them back and forth on the stone to sharpen.