Apparently there were some
pots or pans with wooden handles. Here's a reference in An elementary course of natural and experimental philosophy
from 1855, under "Good and Bad Conductors":
"Exp. 2. Touch the metal portion of the handle of an Italian iron, ? it will feel hot; touch the wooden portion of the handle, and it will feel comparatively cool; thereby showing that iron is a much better conductor of heat than wood.
"Compare the heat of the handle of a saucepan having a metal handle, with the heat of the wooden handle of another saucepan."
Similarly, The Child's Book of Nature
, 1857, shows that metal teapots regularly had wooden handles:
"The handle of a metallic tea-pot is, you know, made of wood; for, if it was metallic, the heat from the tea would spread through it, and make it so hot that it could not be held in the hand."
Unfortunately, as to what metal these were, or what they looked like, I have nothing!