The following is an excerpt from The White House Cookbook published in 1887:

For Bleeding at the Nose

Roll up a piece of paper and press it under the 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, hands dipped in cold water, and bottle of hot water applied to the feet.