The first settlers on Carcass Creek were experienced Wayne County ranchers who arrived in 1880. In 1881, more cattlemen settled along Fish Creek. A small number of residents scattered through the area over the next few years. These early settlers referred to their settlement as Carcass Creek. In 1887, the Mormon residents were organized into a congregation called the Carcass Creek Branch, although meetings were held only irregularly due to the distances among homes.
In the early 1890s the growing town was granted a post office, and the name was changed to Grover in honor of U.S. President Grover Cleveland. The Grover Irrigation Company organized in 1893 to build and manage structures for drawing and distributing water from Fish Creek Lake. The first school classes were held in the winter of 1892–1893, and the first log school/church/community building was built about 1900.
In 1935, a new school building was built in Grover. A stuccoed log one-room school, the Grover School was built with funds and labor provided mainly by the Works Progress Administration. Unlike other area schools, it had a fence and lawn. Due to Grover’s small size, the school board quickly decided the school was an unnecessary expense; within three years the older children were sent to school in Bicknell, and in 1941 the Grover School was closed. The building has remained largely intact, and in 1986 it was listed on the National Register of Historic Places.