When the opportunity presents itself grab Jill before Sheva can because A.I. Sheva will almost always shoot it. If you want to shoot it. let Sheva grab her and shoot it while she's holding her. Use a handgun because shotguns and Magnums will kill her. It has 10,000 health and each shot takes around 1,000 off so shoot about 5 times to be safe, then start pulling. If your wanting to get a complete list of everything you can kill in the records section, Shoot Jill until she dies and restart. Jill counts as something you can kill in the game.