Question: What is the seat of the county that includes Sarah, Kentucky?

full_context: Document 1: Caldwell County, Kentucky: Caldwell County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 12,984. Its county seat is Princeton. The county was formed in 1809 from Livingston County, Kentucky and named for John Caldwell, who participated in the George Rogers Clark Indian Campaign of 1786 and was the second lieutenant governor of Kentucky. Caldwell was a prohibition or dry county until 2013, when the citizens voted to lift the ban.
Document 2: Peytona, Kentucky: Peytona is an unincorporated community within Shelby County, Kentucky, United States. Its post office is closed.
Document 3: Kentenia, Kentucky: Kentenia is an unincorporated community and coal town in Harlan County, Kentucky, United States. Kentenia was served by a post office from 1917 to 1930.
Document 4: Clay County, Alabama: Clay County is a county of the U.S. state of Alabama. As of the 2010 census the population was 13,932. Its county seat is Ashland. Its name is in honor of Henry Clay, famous American statesman, member of the United States Senate from Kentucky and United States Secretary of State in the 19th century. It was the last dry county in Alabama with no wet cities within its boundaries, until a vote on March 1, 2016 approved the sale of alcohol in Lineville and Ashland.
Document 5: Highsplint, Kentucky: Highsplint is a former coal town with an extinct post office in Harlan County, Kentucky, United States. It was named for the High Splint and Seagraves Coal Companies which operated a mine in the town at that time. Highsplint's first post office was established on February 7, 1918, with John D. Casey as postmaster, remaining in operation until 1974.
Document 6: Sarah, Kentucky: Sarah is an unincorporated community within Elliott County, Kentucky, United States. Its post office is closed.
Document 7: Cannel City, Kentucky: Cannel City is an unincorporated community in Morgan County, Kentucky, United States. It lies along Route 191 south of the city of West Liberty, the county seat of Morgan County. In 1901, the Ohio and Kentucky railway tracks were laid through the region and thrived until the Cannel Coal Company's resources were depleted and forestry resources of the Licking River played out at the same time. On November 1, 1933, the last train trip of the Ohio and Kentucky Junction Railroad-Cannel City Line was made and the track was scrapped. During the golden years, there were several grocery stores, a hardware store, post office, mine, bank, blacksmith and an elegant hotel named The DeLancy. Also standing at over 100 years old is the well used by the trains to put water into their engines. Lost over the years was a train depot at the end of Highway 134, where it currently intersects with Highway 191. At one time, the area had a larger population and count of buildings than the present-day county seat West Liberty. After the mine closed, the area still partially thrived during the times after the Great Depression.
Document 8: Owen County, Kentucky: Owen County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 10,841. Its county seat is Owenton. The county is named for Colonel Abraham Owen. It is a prohibition or dry county, with the exception of a winery (Elk Creek Vineyards) that is authorized to sell its product to the public, and limited sales within the incorporated city limits of Owenton.
Document 9: Otter Creek Outdoor Recreation Area: Otter Creek Outdoor Recreation Area (formerly Otter Creek Park) is a 2,600 acre (11 km²) riverfront park in Meade County, Kentucky. The park is located near Muldraugh and Fort Knox, along State Highway 1638, near U.S. 31W. Although it is located outside Louisville, the park was long operated by the city of Louisville and, after the 2003 merger of the city and Jefferson County, Louisville Metro Government. Both entities attempted to give or sell the park to Meade County and the Commonwealth of Kentucky at various times over the years, most recently in 2004. The park closed in 2009 and reopened in 2011. It is now operated by the Kentucky Department of Fish and Wildlife Resources.
Document 10: Allen County, Kentucky: Allen County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 19,956. Its county seat is Scottsville. The county is named for Colonel John Allen, a state senator and soldier who was killed leading the 1st Regiment of Kentucky Rifleman at the Battle of Frenchtown, Michigan during the War of 1812. Allen County is a prohibition or completely dry county. It was formed in 1815 from parts of Barren and Warren counties.
Document 11: Estill County, Kentucky: Estill County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 14,672. Its county seat is Irvine The county was formed in 1808 and named for Captain James Estill, a Kentucky militia officer who was killed in the Battle of Little Mountain during the American Revolutionary War. Estill County is a moist county meaning that the county seat, the city of Irvine, allows the sale of alcohol after the October 9, 2013 vote, but not the rest of Estill County outside the Irvine city limits.
Document 12: Elliott County, Kentucky: Elliott County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 7,852. Its county seat is Sandy Hook. The county was formed in 1869 from parts of Morgan, Lawrence, and Carter counties, and is named for John Milton Elliott, U.S. Congressman; Confederate Justice of the Kentucky Court of Appeals. In regard to alcohol sales, Elliott County is a dry county, meaning the sale of alcoholic beverages is prohibited everywhere in the county.
Document 13: Robertson County, Kentucky: Robertson County is a county located in the U.S. Commonwealth of Kentucky. As of the 2010 census, the population was 2,282. Its county seat is Mount Olivet, Kentucky. The county is named for George Robertson, a Kentucky Congressman from 1817 to 1821. Robertson is a prohibition or dry county. It is Kentucky's smallest county, both by population and by total area.
Document 14: Knott County, Kentucky: Knott County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 16,346. Its county seat is Hindman. The county was formed in 1884 and is named for James Proctor Knott, Governor of Kentucky (1883–1887). It is a prohibition or dry county. Its county seat is home to the Hindman Settlement School, founded as America's first settlement school.
Document 15: Casey County, Kentucky: Casey County is a county located in the U.S. Commonwealth of Kentucky. As of the 2010 census, the population was 15,955. Its county seat is Liberty. The county was formed in 1806 from the western part of Lincoln County and named for Colonel William Casey, a pioneer settler who moved his family to Kentucky in 1779. It is the only Kentucky county entirely in the Knobs region. Casey County is home to annual Casey County Apple Festival, and is a prohibition or dry county. It is considered part of the Appalachian region of Kentucky.
ground_truth: Sandy Hook