Question: What is the population of the seat of the county that Centerfield, Kentucky lies in?
Context: La Grange is a home rule-class city in Oldham County, Kentucky, in the United States.  The population was 8,082 at the time of the 2010 U.S. census.  It is the seat of its county. Estill County is a county located in the U.S. state of Kentucky.  As of the 2010 census, the population was 14,672.  Its county seat is Irvine The county was formed in 1808 and named for Captain James Estill, a Kentucky militia officer who was killed in the Battle of Little Mountain during the American Revolutionary War.  Estill County is a moist county meaning that the county seat, the city of Irvine, allows the sale of alcohol after the October 9, 2013 vote, but not the rest of Estill County outside the Irvine city limits. Robertson County is a county located in the U.S. Commonwealth of Kentucky.  As of the 2010 census, the population was 2,282.  Its county seat is Mount Olivet, Kentucky.  The county is named for George Robertson, a Kentucky Congressman from 1817 to 1821.  Robertson is a prohibition or dry county.  It is Kentucky's smallest county, both by population and by total area. Owsley County is a county located in the Eastern Coalfield region of the U.S. state of Kentucky.  As of the 2010 census, the population was 4,755, making it the second-least populous county in Kentucky.  The county seat is Booneville.  The county was organized on January 23, 1843 from Clay, Estill, and Breathitt counties and named for William Owsley (1782–1862), the judge of the Kentucky Court of Appeals and Governor of Kentucky (1844–48). Buffalo is an unincorporated community and census-designated place (CDP) in southern LaRue County, Kentucky, United States.  Its population was 498 as of the 2010 census.  It lies along Kentucky Route 61 south of the city of Hodgenville, the county seat of LaRue County.  Its elevation is 748 feet (228 m), and it is located at (37.5120048, -85.6985728).  Although Buffalo is unincorporated, it has a post office, with the ZIP code of 42716. Garrard County ( ;) is a county located in the U.S. state of Kentucky.  As of the 2010 census, the population was 16,912.  Its county seat is Lancaster.  The county was formed in 1796 and was named for James Garrard, Governor of Kentucky from 1796 to 1804.  It is a prohibition or dry county but Lancaster is wet.  Lancaster was founded as a settlement of log cabins in 1776 at a springs that later provided a constant source of water to early pioneers.  It is one of the oldest cities in the Commonwealth.  Boonesborough, 25 miles to the east, was founded by Daniel Boone in 1775.  Lexington, 28 miles to the north, was founded in 1775.  Stanford, originally known as St. Asaph, is 10 miles south of Lancaster.  It too was founded in 1775.  The oldest permanent settlemenet in Kentucky, Harrodsburg, was founded in 1774 and is 18 miles to the west.  The present day courthouse is one of the oldest courthouses in Kentucky in continuous use. Centerfield is an unincorporated community in Oldham County, Kentucky, United States.  It is a small suburban community that lies a few miles east of Crestwood on KY 22 and a few miles west of La Grange.  Nearby schools are Centerfield Elementary and East Oldham Middle School, the two closest high schools are Oldham County High School in Buckner and South Oldham High School in Crestwood.  Residential services are provided by Louisville Gas & Electric, Oldham County Water Company and Time Warner Cable.  Fire and police services are provided by the South Oldham Volunteer Fire Department and the Ballardsville Fire Department as well as the Oldham County Police Department. Proctor is an unincorporated community in Lee County, Kentucky, United States.  It lies along Route 11 south of the city of Beattyville, the county seat of Lee County.  Proctor is also located near the beginning point of the Kentucky River.  There are three tributaries which combine near Beattyville and Proctor; the North Fork of the Kentucky River, the Middle Fork of the Kentucky River; and the South Fork of the Kentucky River.  For this reason, many local businesses make mention of the "Three Forks". Casey County is a county located in the U.S. Commonwealth of Kentucky.  As of the 2010 census, the population was 15,955.  Its county seat is Liberty.  The county was formed in 1806 from the western part of Lincoln County and named for Colonel William Casey, a pioneer settler who moved his family to Kentucky in 1779.  It is the only Kentucky county entirely in the Knobs region.  Casey County is home to annual Casey County Apple Festival, and is a prohibition or dry county.  It is considered part of the Appalachian region of Kentucky. Cannel City is an unincorporated community in Morgan County, Kentucky, United States.  It lies along Route 191 south of the city of West Liberty, the county seat of Morgan County.  In 1901, the Ohio and Kentucky railway tracks were laid through the region and thrived until the Cannel Coal Company's resources were depleted and forestry resources of the Licking River played out at the same time.  On November 1, 1933, the last train trip of the Ohio and Kentucky Junction Railroad-Cannel City Line was made and the track was scrapped.  During the golden years, there were several grocery stores, a hardware store, post office, mine, bank, blacksmith and an elegant hotel named The DeLancy.  Also standing at over 100 years old is the well used by the trains to put water into their engines.  Lost over the years was a train depot at the end of Highway 134, where it currently intersects with Highway 191.  At one time, the area had a larger population and count of buildings than the present-day county seat West Liberty.  After the mine closed, the area still partially thrived during the times after the Great Depression.
Answer: 8,082