Question: In which county was The Battle of Little Muddy Creek fought?

Context paragraphs:
Muddy Creek (Slippery Rock Creek): Muddy Creek is a tributary of Slippery Rock Creek in Butler and Lawrence Counties in Pennsylvania in the United States.  The run is 23.2 mi long, flows generally west, and its watershed is 58.2 sqmi in area.  Muddy Creek is the main water source for Lake Arthur in Moraine State Park.

Lame Deer, Montana: Lame Deer (Meaveʼhoʼeno in Cheyenne) is a census-designated place (CDP) in Rosebud County, Montana.  The community is named after Miniconjou Lakota chief Lame Deer, who was killed by the U.S. Army in 1877 under a flag of truce south of the town.  It is the tribal and government agency headquarters of the Northern Cheyenne Indian Reservation.  This is the location of the Chief Dull Knife College and the annual Northern Cheyenne Powwow.

Battle of Little Muddy Creek: The Battle of Little Muddy Creek, also known as the Lame Deer Fight, was fought on May 7, 1877 by United States soldiers and scouts, against a village of Miniconjou Lakota and Northern Cheyenne.  The Battle occurred near Little Muddy Creek in Montana Territory, near present-day Lame Deer, Montana, United States.

William Leonard (Medal of Honor): William Leonard was a Medal of Honor recipient in the United States Army during the Plains Indian Wars.  While serving as a private in Company L, 2nd U.S. Cavalry, he fought in an action against Indians at the Battle of Little Muddy Creek in Montana Territory on May 7, 1877.

Little Muddy Creek (North Dakota): Little Muddy Creek or Little Muddy River is a tributary of the Missouri River, approximately 45 mi long, in northwestern North Dakota in the United States.

Muddy Creek Forks Historic District: Muddy Creek Forks Historic District is a national historic district located at the Village of Muddy Creek Forks in East Hopewell, Fawn, and Lower Chanceford Townships in York County, Pennsylvania.  The district includes 12 contributing buildings, 1 contributing site, and 5 contributing structures.  The buildings and structures were constructed between about 1800 and 1935.  The buildings include the general store, six houses, a mill, grain elevator, warehouse, and Sweitzer barn.  Most of the buildings incorporate Late Victorian style details.  The structures are two bridges, a corn crib, a weigh station, and a mill race.  The site is the site of a former mill and mill pond.

Muddy, Montana: Muddy or Heóvonėheo'hé'e (Muddy Creek.  Lit: yellow-paint-creek) is a census-designated place (CDP) in Big Horn County, Montana, United States and home to the Heóvonėheo'hé'etaneo'o or Heóvonêheo'he'é-taneno (″Muddy Creek people″) Cheyenne people.  The population was 617 at the 2010 census.

Samuel D. Phillips: Samuel D. Phillips (1845 – 1915) was a Medal of Honor recipient in the United States Army during the Plains Indian Wars.  While serving as a private in Company H, 2nd U.S. Cavalry, he fought in an action against Indians at the Battle of Little Muddy Creek in Montana Territory on May 7, 1877.

Big Muddy Badlands: The Big Muddy Badlands are a series of badlands in southern Saskatchewan and northern Montana along Big Muddy Creek.  They are found in the Big Muddy Valley, a cleft of erosion and sandstone along Big Muddy Creek.  The valley is 55 km long, 3.2 km wide and 160 m deep.  The valley was formed when it was part of an ancient glacial meltwater channel that carried great quantities of water southeastward during the last ice age.

Henry Wilkens: Henry Wilkens or Wilkins (1855 – August 2, 1895) was a German-born soldier in the U.S. Army who served with the 2nd U.S. Cavalry during the Nez Perce War.  In the summer of 1877, he received the Medal of Honor for two separate engagements, Little Muddy Creek and Camas Meadows, against Lame Deer and the Nez Perce in the Idaho Territory.  Wilkens was one of four men who received the award for taking part in the battle of Little Muddy Creek.

Supporting paragraphs: Battle of Little Muddy Creek Lame Deer, Montana
Answer: Rosebud County