Question: What is the capital of the county having Lone Hickory in the US state housing Lucas Mansion?

full_context: Document 1: Whitby Mansion: The Whitby Mansion is a historic mansion in Sidney, Ohio, United States. Built in 1890, it was originally the home of W.H.C. Goode, a Sidney industrialist. Descended from one of the First Families of Virginia, Goode first purchased property in the vicinity of Sidney in 1849. Having gained complete ownership of the leading steel scraper manufacturing company in the United States in 1877, Goode began to build his mansion on Sidney's northern side in the late 1880s. The resulting mansion, designed by an unknown architect, features massive stone walls that are topped with a slate roof. Elements of the Jacobethan and Châteauesque styles are combined with the Tudor Revival style of architecture. By the mid-1970s, the mansion had ceased to be a house; it had been purchased by The Way International and converted into a historic archive and art museum. Today, the property is owned by GreatStone Castle Resorts, which operates it as a bed and breakfast.
Document 2: Smithtown, North Carolina: Smithtown is an unincorporated community in northern Yadkin County, North Carolina, United States. Located in the North Fall Creek Township, it was chartered in 1925 and named for three Smith Brothers who operated a small furniture factory and cabinet shop there. The community is in the East Bend ZIP code area. Until 1909 a post office known as Poindexter – named after early settlers C.W. Poindexter, a postmaster, and S.A. Poindexter – served the area.
Document 3: Midway, North Carolina: Midway is an incorporated town in Davidson County, North Carolina, United States. It is located within the township of the same name. Midway is situated approximately above sea level, and as of 2010 had a population of 4,679. Midway is part of the Piedmont Triad region and is neighbored by the communities of Arcadia (west), Welcome (south), Wallburg (northeast) and Winston-Salem (north). Every autumn, the town hosts the Midway Christmas Parade in celebration of the coming Christmas season.
Document 4: Hickory Grove, South Carolina: Hickory Grove is a town in York County, South Carolina, United States. The population was 440 at the 2010 census.
Document 5: West Hickory Bridge: The West Hickory Bridge is a girder bridge that carries Pennsylvania Route 127 across the Allegheny River in rural Forest County, Pennsylvania. Spanning the river between Harmony Township and Hickory Township, it is named for the village of West Hickory.
Document 6: Candor, North Carolina: Candor is a town in Montgomery County, North Carolina, United States. The population was 840 at the 2010 census. Candor is the home of the North Carolina Peach Festival, which is held every year on the third Saturday of July. The town's welcome sign reads: Welcome to Candor. Peach Capital.
Document 7: Mecklenburg County, North Carolina: Mecklenburg County is a county located on the border in the southwestern part of the state of North Carolina, in the United States. As of the 2010 census, the population was 919,628. It increased to 1,034,070 as of the 2015 estimate, making it the most populous county in North Carolina and the first county in the Carolinas to surpass 1 million in population. Its county seat and largest city is Charlotte.
Document 8: Lone Hickory, North Carolina: Lone Hickory is an unincorporated community in southern Yadkin County, North Carolina west of Courtney. It is located on Lone Hickory road, about a mile southeast of the road's west end at U.S. Route 21.
Document 9: Andrew Carpenter House: The Andrew Carpenter House on State Road 1820 in Gaston County, North Carolina, is believed to have been built for Andrew Carpenter shortly after his marriage to Sophia Smith on April 19, 1831. The two-story Federal style plantation house is two rooms deep and has paired chimneys. It is one of the largest early-19th century houses in Gaston County.
Document 10: Biltmore Estate: Biltmore Estate is a large (6950.4 acre or 10.86 square miles) private estate and tourist attraction in Asheville, North Carolina. Biltmore House, the main residence, is a Châteauesque - style mansion built by George Washington Vanderbilt II between 1889 and 1895 and is the largest privately owned house in the United States, at 178,926 square feet (16,622.8 m) of floor space (135,280 square feet (12,568 m) of living area). Still owned by George Vanderbilt's descendants, it remains one of the most prominent examples of the Gilded Age.
Document 11: Richmond Hill, North Carolina: Richmond Hill is an unincorporated community in northern Yadkin County, North Carolina, United States, along the Yadkin River. The community is on the Yadkin County side of the river between the Surry County communities of Rockford and Siloam. It is located in the Boonville ZIP code area (27011).
Document 12: Lucas Mansion: The Lucas Mansion, also known as the Hiddenite Center, is a historic home located at Hiddenite, Alexander County, North Carolina. It was built about 1900, and is a three-story, frame Queen Anne style dwelling. It features a two-story wraparound porch. It was enlarged to its present size by 1928. It was owned by James Paul Lucas, a South Carolina native and international diamond merchant.
Document 13: Hickory, Maryland: Hickory is an unincorporated community in Harford County, Maryland, United States. Hickory is located at the junction of Maryland Route 543 and U.S. Route 1 Business north of Bel Air.
Document 14: Madison Historic District (Madison, Indiana): Many of the prominent buildings in the district were built by Madison-native-architect Francis Costigan, who favored the Greek Revival style. Two of these are National Historic Landmarks: the Lanier Mansion, and the Charles L. Shrewsbury House. The Lanier Mansion was the former home of James Lanier, who lent money to governor Oliver P. Morton to run the Indiana state government to circumvent the legislative process between 1862-1865. The Shrewsbury-Windle House was built for steamboat captain Charles Shrewsbury, who would later become a mayor of Madison. Costigan, himself, built his home in the district, and it is considered one of the best uses of a narrow lot by modern architects. A thirty-foot parlor is considered the highlight of the House.
Document 15: Yadkinville, North Carolina: Yadkinville is a town in Yadkin County, North Carolina, United States. The population was 2,818 at the 2000 census. Located in the Piedmont Triad, it is the county seat and largest city of Yadkin County.
ground_truth: Yadkinville
sub_queries: What state is Lucas Mansion located? Answer: North Carolina
Lone Hickory, North Carolina >> located in the administrative territorial entity Answer: Yadkin County
Yadkin County >> capital Answer: Yadkinville