Padre Island is the largest of the Texas barrier islands and the world's longest barrier island. The island is located along Texas's southern coast of the Gulf of Mexico and is noted for its white sandy beaches. Meaning father in Spanish, it was named after Father José Nicolás Ballí, who owned the island and served as a missionary priest and collector of fi…Padre Island is the largest of the Texas barrier islands and the world's longest barrier island. The island is located along Texas's southern coast of the Gulf of Mexico and is noted for its white sandy beaches. Meaning father in Spanish, it was named after Father José Nicolás Ballí, who owned the island and served as a missionary priest and collector of finances for all the churches in the Rio Grande Valley. He also founded the first mission in present-day Cameron County.