I honestly looked for quite a while and came up with nothing

I did find this though maybe it might help, its for dogs but it seems quite logical.
Step 1: Restrain the dog if necessary.
Step 1a: Approach the dog slowly, speaking in a reassuring tone of voice.
Step 2: Apply cold water or ice packs to the burned area and leave in contact with the skin for 15 minutes. DO NOT apply ointment or butter.
Step 3: If burns cover a large part of the dog's body or are located where the dog can lick them, cover the area with a sterile dressing. DO NOT use cotton.
Step 4: Wrap torn rags or other soft material around the dressing and tie or tape it just tightly enough to keep it in place.
Step 5: Transport the dog to the veterinarian as soon as possible.
I hope he/she feels better!