Morgan's Point is a city in Harris County, Texas, United States, located on the shores of Galveston Bay at the inlet to the Houston Ship Channel, near La Porte and Pasadena. As of the 2010 census, it had a population of 339. It earned fame in Texas' early history for being the home of the legendary Emily West (Morgan), known as "The Yellow Rose of Texas". It later became a Houston-area resort community for the wealthy in the early 20th century. Today, thanks to the construction of the Barbours Cut shipping terminal, it is at the center of one the area's most important shipping hubs.