In 1897, a United States Coast and Geodetic Survey team wrote "Potato Hill is sometimes called Mount Abraham Lincoln but it is better known by the former name.

On June 28, 1973, a pilot flying from Twin Mountain, New Hampshire to Newburgh, New York was maneuvering to avoid clouds when he hit trees on the north ridge of Mount Abraham.

The east slopes drain into Bradley Brook, a tributary of the Mad River.

The southwest face of Mount Abraham drains into the headwaters of the New Haven River, Otter Creek, and into Lake Champlain.

The northwest face of Mount Abraham drains into Beaver Meadow Brook, a tributary of the New Haven River.

[12] Beyond the Champlain Valley 10 miles (16 km) to the west, stands Mount Marcy and the Adirondack Mountains.