Also in 1911, he came to Lander with a group of students and established the Missouri Field Geology Camp near Sinks Canyon State Park.

Eventually Branson formed a scientific partnership with Maurice "Doc" Mehl, another Chicago graduate who joined the Missouri faculty in 1919.

[2] In 1915, Branson wrote a paper on the origin of thick gypsum and salt deposits.

[7] In 1931, he and Maurice Mehl described the extinct genus of heterostracan agnathan Cardipeltis in the Jefferson Formation of Utah.

[8] In 1932, Branson and Mehl reported the presence of Carboniferous-aged fossil footprints of a new ichnospecies in the Tensleep Formation of Wyoming.

The same year, he and Mehl named a new kind of Late Triassic dinosaur footprint discovered in the Popo Agie Formation of western Wyoming.

[13] In 1947, with his son Carl Colton Branson, he reviewed the Lower Silurian conodonts from Kentucky.