Question: In which county in the state where Hickory Hill Park is located is Shady Grove?

full_context: Document 1: South Grove Township, DeKalb County, Illinois: South Grove Township is one of nineteen townships in DeKalb County, Illinois, USA. As of the 2010 census, its population was 512 and it contained 209 housing units. South Grove Township was renamed from Vernon Township on November 20, 1850.
Document 2: Revis Hill Prairie: Revis Hill Prairie State Natural Area, also known as "Revis Hill Prairie Nature Preserve", is a state park located six miles south of Easton in Mason County, Illinois. It is operated by the Illinois Department of Natural Resources (IDNR) as a tallgrass prairie nature preserve and as a fish and wildlife area managed for deer hunting.
Document 3: Oklahoma City: Walking trails line Lake Hefner and Lake Overholser in the northwest part of the city and downtown at the canal and the Oklahoma River. The majority of the east shore area is taken up by parks and trails, including a new leashless dog park and the postwar-era Stars and Stripes Park. Lake Stanley Draper is the city's largest and most remote lake.
Document 4: Liberty Grove, Delta County, Texas: Liberty Grove is a ghost town in Delta County, Texas, United States. The community was settled by 1854, the year its school opened. The farming community included the school and a cemetery as of 1936. In 1966, the community had approximately 25 residents. The community's cemetery was relocated in 1989, and the community was subsequently abandoned and flooded by Cooper Lake. A campsite in Cooper Lake State Park bears the community's name.
Document 5: Hickory Hill Park: Hickory Hill Park is a large natural area in northeast Iowa City, Iowa consisting of of forest, abandoned fields, reconstructed prairie, wetlands, and parkland centered on Ralston Creek and its tributary drainages. It is owned and administered by the city, with help from Friends of Hickory Hill Park. The park is popular with day hikers, dog walkers, cross-country skiers, sledders, and picnickers.
Document 6: Shady Grove, Trousdale County, Tennessee: Shady Grove is an unincorporated community in Trousdale County, Tennessee, United States. Shady Grove is southeast of downtown Hartsville. As Hartsville and Trousdale County form a consolidated city-county government, Shady Grove is under the jurisdiction of Hartsville.
Document 7: New York City: There are seven state parks within the confines of New York City, including Clay Pit Ponds State Park Preserve, a natural area which includes extensive riding trails, and Riverbank State Park, a 28-acre (110,000 m2) facility that rises 69 feet (21 m) over the Hudson River.
Document 8: Oklahoma City: Oklahoma City has a major park in each quadrant of the city, going back to the first parks masterplan. Will Rogers Park, Lincoln Park, Trosper Park, and Woodson Park were once connected by the Grand Boulevard loop, some sections of which no longer exist. Martin Park Nature Center is a natural habitat in far northwest Oklahoma City. Will Rogers Park is home to the Lycan Conservatory, the Rose Garden, and Butterfly Garden, all built in the WPA era. Oklahoma City is home to the American Banjo Museum, which houses a large collection of highly decorated banjos from the early 20th century and exhibits on the history of the banjo and its place in American history. Concerts and lectures are also held there.
Document 9: Balltown, Iowa: Balltown is a city in Dubuque County, Iowa, United States. It is part of the Dubuque, Iowa Metropolitan Statistical Area. The population was 68 at the 2010 census, down from 73 at the 2000 census. Balltown is home to Breitbach's Country Dining, Iowa's oldest restaurant and bar, which was founded in 1852 and twice rebuilt by the community, following its destruction by fire in 2007 and 2008.
Document 10: Beall Woods State Park: Beall Woods State Park is an Illinois state park on bordering the Wabash River and Keensburg in Wabash County, Illinois in the United States. of the state park is an old-growth forest designated as a "Natural Area" by the state of Illinois. The trees within the forest consist overwhelmingly of hardwoods of the former Eastern Woodlands ecosystem. Portions of Beall Woods State Park have been designated a National Natural Landmark as the "Forest of the Wabash". The state park was created in 1966. The nearest towns with any sizable commercial infrastructure, including hotels and grocery stores, are Grayville and Mount Carmel. The park does host a small primitive campground and maintains a visitor center which opened in April 2001. The park maintains of hiking trails, primarily through the Forest of the Wabash portion of the park.
Document 11: Shady Grove, McIntosh County, Oklahoma: Shady Grove is a census-designated place (CDP) in McIntosh County, Oklahoma, United States. The population was 199 at the 2010 census, a decrease of 14.4 percent from 229 in 2000.
Document 12: Island Grove Township, Gage County, Nebraska: Island Grove Township is one of twenty-four townships in Gage County, Nebraska, United States. The population was 103 at the 2000 census. A 2006 estimate placed the township's population at 103.
Document 13: Bear Grove Township, Guthrie County, Iowa: Bear Grove Township is one of seventeen townships in Guthrie County, Iowa, United States. It is located WSW of Guthrie Center just west of Sutcliff Woodland. As of the 2010 census, its population was 160.
Document 14: Possum Woods Conservation Area: The area had been used at various times as an exotic animal breeding area for the St. Louis Zoo, a resort, public swimming pool, and tennis club. The land was purchased by real estate developer Russell. E. Emmenegger in the 1970s before he donated it to the city of Kirkwood. The land is currently leased by the Missouri Department of Conservation. Dogs are allowed on a leash.
Document 15: Shady Grove, Iowa: Shady Grove is a former townsite and unincorporated community in Buchanan County, Iowa, United States, between the cities of Brandon and Jesup. Settlement of Shady Grove began in 1857, but with the advent of rural migration, the population had dropped to 25 by the 1950s. New housing developments begun during the 1990s and 2000s, however, have caused the empty community to be reborn, causing controversy along the way.
ground_truth: Buchanan County
sub_queries: In which state is Hickory Hill Park located? Answer: Iowa
Shady Grove, Iowa >> located in the administrative territorial entity Answer: Buchanan County