Question: What is the capital of the county where Arcadia is located in the state the Lanier Mansion can be found?

full_context: Document 1: Center Township, Wayne County, Indiana: Center Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 7,579 and it contained 3,204 housing units.
Document 2: Richmond, Virginia: Richmond is home to several notable instances of various styles of modernism. Minoru Yamasaki designed the Federal Reserve Building which dominates the downtown skyline. The architectural firm of Skidmore, Owings & Merrill has designed two buildings: the Library of Virginia and the General Assembly Offices at the Eighth and Main Building. Philip Johnson designed the WRVA Building. The Richard Neutra-designed Rice House, a residence on a private island on the James River, remains Richmond's only true International Style home. The W.G. Harris residence in Richmond was designed by famed early modern architect and member of the Harvard Five, Landis Gores. Other notable architects to have worked in the city include Rick Mather, I.M. Pei, and Gordon Bunshaft.
Document 3: Arcadia, Indiana: Arcadia is a town in Jackson Township, Hamilton County, Indiana, United States. The population was 1,666 at the 2010 census.
Document 4: Francis Parkman House: The Francis Parkman House is a National Historic Landmark at 50 Chestnut Street, on Beacon Hill in Boston, Massachusetts. Probably designed by Cornelius Coolidge and built in 1824, it is one of a series of fine brick townhouses on Beacon Hill. Its significance lies in its ownership and occupancy by noted historian and horticulturalist Francis Parkman (1823–1893) from 1865 until his death. While living here, Parkman produced a significant portion of his landmark work, "France and England in North America", a multi-volume epic history recounting the conflict for control of North America in the 17th and 18th centuries.
Document 5: Jerome Mansion: The Jerome Mansion was the home of financier Leonard Jerome, one of the richest and most influential men in New York City in the middle- to late-19th century, and a frequent business partner of Cornelius Vanderbilt. The mansion was located on the corner of East 26th Street and Madison Avenue, across from Madison Square Park. It was built from 1859 to 1865.
Document 6: Arcadia, Oklahoma: Arcadia is a town in Oklahoma County, Oklahoma, United States, and a part of the Oklahoma City metropolitan area. The population was 247 at the 2010 census, a decrease of 11.5 percent from 279 at the 2000 census.
Document 7: Wayne Township, Hamilton County, Indiana: Wayne Township is one of nine townships in Hamilton County, Indiana, United States and serves as one of two townships within Noblesville, Indiana's jurisdiction. As of the 2010 census, its population was 7,886 and it contained 3,252 housing units, an increase from 2415 in 2000, as Noblesville continues to expand eastward and Fishers reaches its northern limits. In 2007, Noblesville officially opened one of the largest mixed use developments in the state, called the Noblesville Corporate Campus. A portion of the development is located within the township. When completed, it will include a large industrial/commercial park, several housing developments, hotels, greenspace and a large outdoor shopping center called Hamilton Town Center, being built by the Simon Property Group, headquartered in nearby Indianapolis.
Document 8: Arcadia, North Carolina: Arcadia is an unincorporated community in Davidson County, North Carolina. It is located in the northwestern section of the county along NC Highway 150. Neighboring communities and municipalities include Midway, Welcome, and Winston-Salem.
Document 9: Harrison Township, Wayne County, Indiana: Harrison Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 392 and it contained 138 housing units.
Document 10: Arcadia Township, Carroll County, Iowa: Arcadia Township is one of eighteen townships in Carroll County, Iowa, USA. As of the 2000 census, its population was 752.
Document 11: Jackson Township, Clinton County, Indiana: Jackson Township is one of fourteen townships in Clinton County, Indiana. As of the 2010 census, its population was 1,173 and it contained 469 housing units. The township was named for President Andrew Jackson.
Document 12: Wayne Township, Allen County, Indiana: Wayne Township is one of twenty townships in Allen County, Indiana, United States. As of the 2010 census, its population was 103,803.
Document 13: Center Township, Marion County, Indiana: Center Township is one of nine townships in Marion County, Indiana, in the United States. As of the 2010 census, its population was 142,787 and it contained 76,872 housing units. It is the most populated township in Marion County.
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: James Lanier: James Lanier was born in 1800 in Beaufort County, North Carolina to Alexander Chalmers Sr. (1778-1820) and Drusilla Cleaves Doughty (died 1838). His home was in Kentucky from childhood until 1817, when his family moved to Madison, Indiana, the year after it became a state and lived at Schofield House. He studied law at Transylvania University and began practicing in 1820. According to an ad placed in the Indiana Republican newspaper of August 17, 1820, Lanier’s first law office at Madison was “in the south wing of Col. Stapp’s brick house, in the room…at present occupied by Dr. [Robert] Cravens,” father of the man Lanier’s daughter Drucilla would later marry.
ground_truth: Noblesville
sub_queries: Lanier Mansion >> located in the administrative territorial entity Answer: Indiana
Arcadia, Indiana >> located in the administrative territorial entity Answer: Hamilton County
Hamilton County >> capital Answer: Noblesville