Question: What is the county where Lone Hickory is located in the state the Lucas Mansion can be found named after?

full_context: Document 1: 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 2: 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 3: Rock Hill, South Carolina: Rock Hill is the largest city in York County, South Carolina, United States and the fifth-largest city in the state. It is also the fourth-largest city of the Charlotte metropolitan area, behind Charlotte, Concord, and Gastonia (all located in North Carolina, unlike Rock Hill). As of the 2010 Census, the population was 66,154. In 2016, the population had increased to 72,937.
Document 4: 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 5: Bringle Ferry Bridge: The Bringle Ferry Bridge is a crossing of the Yadkin River Channel and the Tuckertown Reservoir in Rowan County, North Carolina and Davidson County, North Carolina. The bridge is on Bringle Ferry Road between Salisbury, North Carolina and Denton, North Carolina. It is the only crossing of the Yadkin River between the Interstate 85 bridge at Spencer, North Carolina and the NC Hwy 49 bridge near Richfield, North Carolina. The Bringle Ferry Bridge has views of the High Rock Dam to the north, which separates Tuckertown Reservoir from High Rock Lake.
Document 6: 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.
Document 7: 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 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: Roaring River (North Carolina): The Roaring River is a tributary of the Yadkin River in northwestern North Carolina in the United States. Via the Yadkin it is part of the watershed of the Pee Dee River, which flows to the Atlantic Ocean. According to the Geographic Names Information System, it has also been known historically as "Roaring Creek." The river's name comes from its headwaters in the Blue Ridge Mountains, where it flows through a series of small waterfalls.
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: 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 12: Gold Hill Township, Rowan County, North Carolina: Gold Hill Township is one of fourteen townships in Rowan County, North Carolina, United States. The township had a population of 10,015 according to the 2000 census.
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: 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 15: 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.
ground_truth: Yadkin River
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 >> named after Answer: Yadkin River