Big Cabin is a town in Craig County, Oklahoma, United States. The population was 265 at the 2010 census, a decrease of 9.6 percent from the figure of 293 recorded in 2000. The town was named for a local landmark, a plank cabin, that existed near the place where the Missouri, Kansas and Texas Railway built a switch in 1871–2. The first post offi…Big Cabin is a town in Craig County, Oklahoma, United States. The population was 265 at the 2010 census, a decrease of 9.6 percent from the figure of 293 recorded in 2000. The town was named for a local landmark, a plank cabin, that existed near the place where the Missouri, Kansas and Texas Railway built a switch in 1871–2. The first post office in this part of Indian Territory opened in 1872.. Some entrepreneurs built a stockyard in the town in 1888. The first two-story frame building was constructed in 1892. In 1892 the Post Office Department assigned a postal designation to Big Cabin. A school for non-Indian children began in 1895. The railroad built a depot in 1903.