1) Nothing is more soothing than the white of an egg, which may be poured over the
wound. It is the contact with the air which gives the extreme discomfort experienced
from the ordinary accident of this kind, and anything which excludes the air and prevents
inflammation is the thing to be applied.
2) Common baking soda has been found to cure burns or scalds, affording immediate relief when it is promptly applied. For a dry burn, the soda should be made into a paste with water. For a scald or wet burned surface, the powdered soda (or borax) should be dusted on.
3) It is said that charcoal [from a fire, not a barbecue where lighter fluid was used] is a sure cure for burns. By laying a small piece of cold charcoal on the burn, the pain subsides immediately. By leaving the charcoal on for an hour, the wound is healed.
See more at Burns in our Natural Cures section.