North Madison, IndianaNorth Madison is a neighborhood of Madison, Indiana, in the United States.HistoryNorth Madison was platted in 1846. A post office was established at North Madison in 1848, and remained in operation until it was discontinued in 1957. In 1952 North Madison was annexed, becoming a neighborhood of Madison, which aided in providing city services to new businesses started in the area. A tornado in 1974 destroyed a number of buildings in the neighborhood.