Oh, I see. I found a good article this morning while googling around, trying to find out where some of the scenes were shot. It was by a film person, written a few days before the opening of the movie in 1956.
It mentioned the Paisano Hotel in Marfa as the headquarters, but didn't say much of anything about other scenes--just that the Big House was built on a rancher's land and was just half-house, pretty much. Became a fancy barn when the movie production shut down.
I've never been that far out, only to Marathon a few times and Alpine twice, that I can remember (a couple of other times as a kid, which I don't remember). So, I was not among the thousands who got to watch the movie being made on-location. They had grandstands erected and several hundred people got to watch each day as they were shooting. They shot with live, wild sound, which was unheard of at the time. Most of the interior shots were back at Warner Bros. studio lot, though.
When they wrapped up production and showed the uncut film in L.A. for the cast and crew in 1955, James Dean was finally "let loose" and went tearing out, headed to a stock car race he was entered in. Died the next day in the famous car wreck.
I loved when everyone flew in to the little Jett Rink Airport for the hotel opening. I lived at the time just a couple of miles straight down the road from the real "63-shades-of-green" Shamrock Hilton and thought this was all true-to-life and the way it all happened just a few years before, lol. (I was a grade-schooler.)
But we, the viewer, see that they're sleeping in the open land, under the stars. A very cool moment in a terrific movie. (If you've seen it I have a few words for you: "Your parachute didn't open!")