From the record
“The Matagorda Island Light is located on Matagorda Island in Calhoun County, in the U.S. state of Texas. Once under the jurisdiction of the United States Coast Guard, the lighthouse is now managed by the Texas Parks and Wildlife Department.”
Wikipedia article Matagorda Island Light, CC BY-SA 4.0.
One of 2 National Register listings published here for Calhoun County · listed in 1984 · category: Structure · built in 1852.
Sources: the Wikipedia article · the case file at the National Archives · the National Register database, National Park Service