Can I treat a burn without going to the ER?

Lo's finger got burned and it looks like her skin in her tip was burned off :( I feel horrible.

    Ouch! How's she feeling today?

    I would put it in ice water and give it a few hours, if it's not looking better then take them.. But that's me and we live an hour from the ER. :) Mild burns I just run cold water over and leave alone, but I haven't dealt much with 3rd degree burns. The one I did have I just kept it moisturized. My back is scarred a bit, but not much.