Luxury and convenience in the cowboy capital of the world welcome to the hampton inn suites stephenville tx take a relaxing break in a small town with a big heart in stephenville the cowboy capital of the world and a leading agricultural center of texas the hampton inn suites hotel in stephenville tx is situated only five minutes from the lone star arena and tarleton state university at the intersection of harbin drive and loop 377 shoot over to the lone star arena for rodeo events