Apparently, Addie has a tight muscle in her rectum that is causing her to spray blood when she farts and right before she poops. Then, the poop coming out has a little blood in it from passing through the area, too.
Our doctor (who was fantastic) was very concerned when she first heard about the spraying issue. She promptly called the hospital and spoke with the gastroenterologist who said that they see this issue all of the time. The spraying is what clued him into to our problem.