Fullerton is a city in, and the county seat of, Nance County, Nebraska, United States. Its population was 1,307 as of the 2010 Census. A loc…Fullerton is a city in, and the county seat of, Nance County, Nebraska, United States. Its population was 1,307 as of the 2010 Census. A location by Fullerton called "Buffalo Leap" was thought to be used by aboriginals for driving buffalo to their deaths as a hunting method. It is also known as "Lover's Leap". Currently it is a part of the Broken Arrow Wilderness Camp located just north of Fullerton.