The town is named for George Ware Fulton, a land developer in the area.

They raised a family and moved around the country as George found jobs supervising railroads and building bridges.

The town quickly became the site for many slaughterhouses as cattle from south Texas were driven to Fulton.

Texas State Highway 35 passes through the center of the town, leading north across the inlet of Copano Bay.

[6] The climate in this area is characterized by hot, humid summers and generally mild to cool winters.

[7] As of the 2020 United States census, there were 1,523 people, 542 households, and 370 families residing in the town.

Fulton has a 1,500 ft (460 m) wooden fishing pier that extends into Aransas Bay.

Rebuilt in early 2021 after being destroyed by Hurricane Harvey, the pier has fishing lights and is wheelchair accessible.

The town is also served by the Aransas County Public Library, located in Rockport.