Traditionally, Irish Stew consists of just lamb or mutton; onions, potatoes and water. Purists will tell you not to add carrots, but I was having a chat with an Irish friend about this recently, and she insisted that she includes carrots in her version. The secret with Irish Stew (as indeed with any stew), is to cook it for a long time at a low temperature. You want the meat to break down so that it's hanging off the bone, and for the potato to slightly disintegrate so that it thickens the sauce.
Take some Lamb Chops, and brown them in a pan with a knob of unsalted butter. Transfer them to a casserole dish. Next, saute some sliced onions in the butter, cook them through, then add them to the casserole. Peel some carrots, and slice them into quarters, lengthways. Add them to the casserole- on top of the onions. The aim is to build up your vegetables in layers. Add another layer of onions. Finally, add some peeled potatoes, which you have chopped into quarters, lengthways. Season with sea salt and ground black pepper.
Now pour in some stock (ideally lamb stock if you have it), and add a sprig of thyme. Cook the casserole in a low to medium oven, until the lamb is cooked through (i.e. just about to fall off the bone), and the sauce is reasonably thick. On a low heat this may take at least two hours.
Take the casserole out of the oven, and have a look at it. If you want to thicken the sauce, you could always add a roux- which is butter and flour mixed to form a small ball. Check the seasoning, and add more salt and pepper if it's needed. Finally, serve with a generous amount of chopped parsley.