I'm so sorry, hen! Really glad that you're using her body to nourish your own. I bet it will somehow make you feel even more "ok" about her sudden death, because her life will continue in you.
I don't think you hang domesticated birds, generally. I'm looking in the River Cottage Meat Book (and it's awesome). The author (Hugh Fearnley-Whittingstall) says he usually tosses the giblets into a pan to brown with some fat, then adds stock or
water to make stock and makes a gravy. The liver is excellent fried by itself and spread on toast.
I would definitely save the fat and render it. Rendering is simply cooking it on very low heat until the water has evaporated and all your left with is an oil and usually some crispy stuff in the bottom. Some people add some water to the pot to prevent it from burning, but if you have low
enough heat and a heavy enough pot this isn't necessary. Strain the hot fat through a cheese cloth or similar into a clean jar.
If you have enough fat, you can do a confit of the legs! I've only tried duck confit once, in a fancy restaurant, and it was so gooood. Mix together two large
spoons of
course salt with some pepper, thyme, bay leaves, and six cloves of garlic, then rub it all over the legs. Let it sit for 24 hours in a tray in the fridge, then repeat and let sit another 24 hours. Then brown the entire surface of the legs in a
skillet, and put them in a cassarole dish and cover with pan scrapings and rendered fat. Roast at 300F for 2 hours, til the meat is almost falling off the bone. When cooled, put the legs in a jar (maybe one per jar?) or dish that will completely contain them, and pour liquid warm fat over them so there are no air pockets. This will keep for several months in a cool place, and longer in the fridge. When you remove the legs, scrape off most of the fat - it can be re-rendered and filtered and used again - and sear them in a very hot
oven until the skin is crispy and the meat hot - 5-10 min. Hugh recommends serving with a salad to cut the fat quantity of the meal.