xylaria
Bushcrafter (boy, I've got a lot to say!)
I heard a long time ago about getting a burn in cold water within 10 secs was key, and if you can manage it in under 3 seconds, a minor burn will almost dissapear.
It has worked for me, although I have injured myself swan diving for the water.
I have also fallen in the lake when cooling a burn on a fishing session.
That is what I stick to as well, my kids have had some accedents which should of scarred but didn't. My son ran into me while cooking and had a saucepan of boiling water poured on him. I threw I think a pint of cold milk on him as it was next to me then he was he was showered in cold water for half an hour. He wasn't very happy, but there was only one small blister from an initial area of redness that half his face his neck and most of his chest.
For the small ouchy burns which aren't treated as promptly, sitting still with the fingers in cup of water for ages helps. i have used some right strange things, the goo from comfry root works very well indeed to speed healing and as a local topical anesthetic. Pile cream contains pain killers and healing stuff as well, i think it works well, and I know a tattooist that uses it on tatts . A wet poultice of anything cold will feel soothing. Plantain leaf, willow inner bark, birch leaves, and comfry leaf, should all work a bit if made in to a wet poultice.