Suppose someone is taking possession of a square piece of land that belongs to them, in an area that hasn't been settled yet. They want to mark their land to let everybody know it is theirs. The first thing they do is drive stakes into the ground at the corners of the piece of land. Then perhaps they connect them with strings or wire fence and put up signs. This was a common activity in the United States in the 1800s. Sometimes land was free and belonged to the first person who claimed it by staking it out (subject to laws and regulations). During the 1800s the United States expanded from the East Coast westward across the continent. The history of that time period has become a culture myth, referred to as "the winning of the West." The limit of western settlement was "the frontier" and it kept moving west. In the United States, "the West" or "the Wild West" means the expanding western settlement area, during that period of time. (During that time, we were pushing aside the native Americans, the "Indians" as they were called, committing terrible injustices). In the real West you would have staked out a claim on a real piece of land that you would homestead, or farm, or mine for gold. I learn from Wikipedia that the fictional Westworld was a sort of amusement park, a dream made real, a virtual reality version of the mythic "West." Thus, instead of being a place to stake out real land, it was a place to "stake out our dreams."