Thomas Cole Mountain is a mountain in Greene County, New York. The mountain is named after the artist Thomas Cole, who lived in the area and is regarded as the founder of the Hudson River School. Thomas Cole Mountain is part of the Blackhead range, and is the fourth highest peak of the broader Catskill Mountains. Thomas Cole is flanked to the east b…Thomas Cole Mountain is a mountain in Greene County, New York. The mountain is named after the artist Thomas Cole, who lived in the area and is regarded as the founder of the Hudson River School. Thomas Cole Mountain is part of the Blackhead range, and is the fourth highest peak of the broader Catskill Mountains. Thomas Cole is flanked to the east by Black Dome, and to the west by Camel's Hump.