A sampling of architects' work from Texas:
Findlay: Beaumont, San Antonio
Bendelow: Corpus Christi, Dallas, El Paso, Fort Worth, Glen Garden, Lakewood, River Crest, TCC (San Antonio)
Tillinghast: Brackenridge Park, Brook Hollow, Cedar Crest, Corsicana, Dallas, Fort Sam Houston, Fort Worth, Oak Hills (a/k/a Alamo), San Antonio
Bredemus: Austin, Cherokee, Colonial, Ebony Hill, Galveston, Glen Garden, Odessa
Maxwell: Brook Hollow, Colonial, Mount Pleasant, Walnut Hills
Mungo Park: Galveston
Ross: Galveston Municipal, River Oaks, Sunset Grove
Langford/Moreau: State Line
Loeffler: Willow Springs
There were a slew of courses built during the 20's in the small towns of Texas much the way courses were being built throughout the states in the middle of the country, most of these being 9 holers. Some of these may have been done by the bigger names who passed through, but I'm guessing most of these courses were locally built. But by 1940 Texas was probably only behind a handful of states (NY, NJ, IL, OH, CA and perhaps a few others) in terms of total number of golf courses.