From the record
“The Tarpon Inn is a historic hotel located in Port Aransas, Texas, United States that originally opened in 1886. The building was named after the tarpon sport fish that drew many anglers to the sea side city and Port Aransas was called Tarpon at the time.”
Wikipedia article Tarpon Inn, CC BY-SA 4.0.
One of 16 National Register listings published here for Nueces County · listed in 1979 · category: Building · built in 1886.
Sources: the Wikipedia article · the case file at the National Archives · the National Register database, National Park Service