Question: What is the capital of the county where Arcadia is located in the state with Ancilla College?

full_context: Document 1: 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 2: Mundelein College: Mundelein College was the last private, independent, Roman Catholic women's college in Illinois. Located on the edge of the Rogers Park and Edgewater neighborhoods on the far north side of Chicago, Illinois, Mundelein College was founded and administered by the Sisters of Charity of the Blessed Virgin Mary. In 1991, Mundelein College became an affiliated college of Loyola University Chicago. It has since become completely incorporated. Mundelein College was located just south of Loyola's Lake Shore Campus.
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: Lake Forest College: Lake Forest College is a private liberal arts college in Lake Forest, Illinois. Founded in 1857 as Lind University by a group of Presbyterian ministers, the college has been coeducational since 1876 and an undergraduate-focused liberal arts institution since 1903. Lake Forest enrolls approximately 1,600 students representing 47 states and 81 countries. Lake Forest offers 30 undergraduate major and minor programs in the humanities, social sciences, and natural sciences, and features programs of study in pre-law, pre-medicine, communication, business, finance, and computer science. The majority of students live on the college's wooded 107-acre campus located a half-mile from the Lake Michigan shore.
Document 5: University of Notre Dame: Hesburgh is also credited with transforming the face of Notre Dame by making it a coeducational institution. In the mid-1960s Notre Dame and Saint Mary's College developed a co-exchange program whereby several hundred students took classes not offered at their home institution, an arrangement that added undergraduate women to a campus that already had a few women in the graduate schools. After extensive debate, merging with St. Mary's was rejected, primarily because of the differential in faculty qualifications and pay scales. "In American college education," explained the Rev. Charles E. Sheedy, C.S.C., Notre Dame's Dean of Arts and Letters, "certain features formerly considered advantageous and enviable are now seen as anachronistic and out of place.... In this environment of diversity, the integration of the sexes is a normal and expected aspect, replacing separatism." Thomas Blantz, C.S.C., Notre Dame's Vice President of Student Affairs, added that coeducation "opened up a whole other pool of very bright students." Two of the male residence halls were converted for the newly admitted female students that first year, while two others were converted for the next school year. In 1971 Mary Ann Proctor became the first female undergraduate; she transferred from St. Mary's College. In 1972 the first woman to graduate was Angela Sienko, who earned a bachelor's degree in marketing.
Document 6: 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 7: 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 8: 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 9: Ann Arbor, Michigan: Other local colleges and universities include Concordia University Ann Arbor, a Lutheran liberal-arts institution; a campus of the University of Phoenix; and Cleary University, a private business school. Washtenaw Community College is located in neighboring Ann Arbor Township. In 2000, the Ave Maria School of Law, a Roman Catholic law school established by Domino's Pizza founder Tom Monaghan, opened in northeastern Ann Arbor, but the school moved to Ave Maria, Florida in 2009, and the Thomas M. Cooley Law School acquired the former Ave Maria buildings for use as a branch campus.
Document 10: 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 11: 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 12: 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 13: 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 14: 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 15: Ancilla College: Ancilla College, near Donaldson, Indiana, is a two-year private liberal arts college that admits both men and women students. Ancilla College was founded by the Poor Handmaids of Jesus Christ in 1937 as an extension of DePaul University for the training of novices and candidates of the Poor Handmaids of Jesus Christ. In 1966 the college started admitting the public as a private liberal arts community college. Ancilla College focuses on serving the seven surrounding counties of Indiana. Ancilla College grants associate degrees in multiple programs, from which Ancilla graduates may easily transfer to a four-year college or university, especially via the transfer agreements that Ancilla College has with 14 Indiana colleges and universities. The Latin word "ancilla" means "handmaid or servant," a reference to the college's sponsor, The Poor Handmaids of Jesus Christ.
ground_truth: Noblesville
sub_queries: What state is Ancilla College located? Answer: Indiana
Arcadia, Indiana >> located in the administrative territorial entity Answer: Hamilton County
Hamilton County >> capital Answer: Noblesville