Bleeding at the Nose
Roll up a piece of paper and press it under the upper lip. In obstinate cases, blow a little gum arabic up the nostril through a quill, which will immediately stop the discharge; powdered alum, dissolved in water, is also good. Pressure by the finger over the small artery near the ala (wing) of the nose on the side where the blood is flowing, is said to arrest the hemorrhage immediately. Sometimes by wringing a cloth out of very hot water and laying it on the back of the neck, gives relief. Napkins wrung out of cold water must be laid across the forehead and nose, the hands dipped in cold water, and a bottle of hot water applied to the feet.
Source: The White House Cookbook, F.L. Gillette