Preheat the oven to 400 degrees F.
On the stove, heat a small roasting pan (I use one like a slightly oversized tarte tatin pan) and sear the duck legs, skin-side down over medium heat until the skin turns golden and gives out some oil.
Turn the legs over, and take the pan off the heat while you cut the potatoes into 1-inch slices across, then cut each slice into 4. Arrange these potato pieces around the duck legs, then let a few sprigs of thyme fall over the duck and potatoes, and season with salt and pepper, before putting into the preheated oven.
Cook for two hours, occasionally turning the potatoes, for optimal outcome, which is tender duck legs and crispy potatoes, though both will be ready to eat after 1 1/2 hours.
Making leftovers right: If you have even a small amount of meat left, you could bag and mark it up and store it in the freezer for up to two months for future use. Thaw overnight in the refrigerator.