Johnson County is situated in northeastern part of Wyoming near Buffalo with a population estimated at 8 895 inhabitants during 2019 census . Major attractions include Big Horn National Forest offering outdoor recreation opportunities like fishing , hunting , rock climbing , camping etc ; Bighorn Mountains which provide access to mountain valleys for exploring ancient pictographs and petroglyphs ; Medicine Wheel Passage archaeological site where visitors can admire wheel – shaped structure made out offic stones surrounded by 28 spokes believed to be symbolizing lunar cycles ; Crazy Woman Canyon Recreation Area known for its challenging bike trails along creekbed .