Question: What county shares a border with the one that Palmer is a part of?

full_context: Document 1: Hanover, Kansas: Hanover is a city in Washington County, Kansas, United States. As of the 2010 census, the city population was 682; as of 2014, it was estimated to have decreased to 665. It is the second most populous town within Washington County.
Document 2: Barnes, Kansas: Barnes is a city in Washington County, Kansas, United States. As of the 2010 census, the city population was 159.
Document 3: Stateline Township, Sherman County, Kansas: Stateline Township is one of the thirteen townships of Sherman County, Kansas, United States. The population was 344 at the 2000 census.
Document 4: Washington Township, Harlan County, Nebraska: Washington Township is one of sixteen townships in Harlan County, Nebraska, United States. The population was 66 at the 2000 census. A 2006 estimate placed the township's population at 61.
Document 5: Geographic center of the United States: Its position as located in a 1918 survey is located at 39 ° 50 ′ N 98 ° 35 ′ W ﻿ / ﻿ 39.833 ° N 98.583 ° W ﻿ / 39.833; - 98.583 ﻿ (Geographic Center of the Contiguous United States), about 2.6 miles (4.2 km) northwest of the center of Lebanon, Kansas, approximately 12 miles (19 km) south of the Kansas - Nebraska border.
Document 6: Circle of latitude: 40 ° N In the USA, the border between Nebraska and Kansas. The parallel was originally chosen for the Mason -- Dixon line, but the line was moved several miles south to avoid bisecting the city of Philadelphia.
Document 7: Lanham, Kansas and Nebraska: Lanham is an unincorporated community in both Washington County, Kansas and Gage County, Nebraska in the United States. It is located along State Line Road just west of K-148/Nebraska Highway 112. Its main street forms the state line.
Document 8: Palmer, Michigan: Palmer is an unincorporated community in Richmond Township, Marquette County, in the U.S. state of Michigan. It is a census-designated place (CDP) for statistical purposes and has no legal status as an incorporated municipality. The CDP population was 449 at the 2000 census.
Document 9: Palmer, Kansas: Palmer is a city in Washington County, Kansas, United States. As of the 2010 census, the city population was 111.
Document 10: Haddam, Kansas: Haddam is a city in Washington County, Kansas, United States. It is named after Haddam, Connecticut. As of the 2010 census, the city population was 104.
Document 11: Washington, Kansas: Washington is a city in, and the county seat of, Washington County, Kansas, United States. As of the 2010 census, the city population was 1,131.
Document 12: Lanham, Maryland: Lanham is an unincorporated community and census-designated place in Prince George's County, Maryland. As of the 2010 United States Census it had a population of 10,157. The New Carrollton station (the terminus of the Washington Metro's Orange Line) as well as an Amtrak station are across the Capital Beltway in New Carrollton, Maryland. Doctors Community Hospital is located in Lanham.
Document 13: Linn, Kansas: Linn is a city in Washington County, Kansas, United States. As of the 2010 census, the city population was 410.
Document 14: Plains, Kansas: Plains is a city in Meade County, Kansas, United States. At the 2010 census, the city population was 1,146. It is notable for the width of its main street which is the widest in the United States at across.
Document 15: K-8 (Kansas highway): K-8 is the name of two separate state highways in Kansas, United States. The southern highway is a road, linking Oklahoma State Highway 8 (SH-8) to the town of Kiowa. The northern highway links U.S. Route 36 (US-36) near Athol to Nebraska Highway 10 (N-10) near the town of Franklin.
ground_truth: Gage County
sub_queries: Palmer >> located in the administrative territorial entity Answer: Washington County
Washington County >> shares border with Answer: Gage County