Livermore is a long, relatively narrow township, forming a very rough approximation of a crescent with its endpoints at the north and west. Livermore and its neighbor to the west, Lincoln, occupy a large area of uninhabited woodland once known as the "Pemigewasset Wilderness" (a portion of which is preserved in the present-day WMNF Pemigewasset Wilderness in Lincoln). The original boundary between the two towns did not follow natural features, such as the crest of the divide that separates the Pemigewasset River and Saco River drainages, which led to numerous charges and countercharges of cutting over the line between the two owners, the Saunders family in Livermore and James Everell Henry in Lincoln. In addition, it was difficult to haul timber over the ridgecrest. Eventually a settlement was reached by which the New Hampshire legislature redrew the town boundary to run along the ridgecrest, with the Lincoln portion defined as that part of the territory that is drained by the East Branch of the Pemigewasset River and the Livermore portion as that drained by other rivers. This definition produced a peculiar result: there is a small piece of Livermore at the head of the Little River valley (part of the Ammonoosuc River drainage) that is not contiguous to the rest of the town - it is, in fact, from the nearest corner of the main part of the town. Since this fragment and all lands bordering it are now part of the White Mountain National Forest, this historical peculiarity no longer has any practical consequences.