Question: Who is the county that shares a border with the county Wayne Township is located named after?

full_context: Document 1: Hamilton County: Hamilton County is the name of ten counties in the United States of America, eight of them named for Alexander Hamilton, first United States Secretary of the Treasury:
Document 2: List of the most common U.S. county name etymologies: Twenty three of the twenty six Jefferson Counties in the United States are directly named for Thomas Jefferson, the third President, and the remaining three are indirectly named for him.
Document 3: Clermont County Public Library: The Clermont County Public Library is a public library in Clermont County, Ohio, located east of Hamilton County and within the greater Cincinnati area. There are ten library branches in the system: Amelia, Batavia, Bethel, Felicity, Goshen, Milford, New Richmond, Owensville, Union Township, and Williamsburg.
Document 4: Wayne Township, Jefferson County, Ohio: Wayne Township is one of the fourteen townships of Jefferson County, Ohio, United States. The 2010 census found 2,232 people in the township, 2,030 of whom lived in the unincorporated portions of the township.
Document 5: Alexander Hamilton Institute: The Alexander Hamilton Institute is a former institute for business education in New York City founded in 1909, and dissolved in the 1980s. The Alexander Hamilton Institute was a corporation engaged in collecting, organizing and transmitting business information.
Document 6: Franklin Township, Clermont County, Ohio: Franklin Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 4,188 people living in the township, 3,307 of whom lived in the unincorporated portions of the township.
Document 7: Williamsburg Township, Clermont County, Ohio: Williamsburg Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 5,746 people living in the township, 3,256 of whom lived in the unincorporated portions of the township.
Document 8: United States ten-dollar bill: The United States ten - dollar bill ($10) is a denomination of U.S. currency. The obverse of the bill features the portrait of Alexander Hamilton, who served as the first U.S. Secretary of the Treasury. The reverse features the U.S. Treasury Building. All $10 bills issued today are Federal Reserve Notes.
Document 9: Ohio Township, Clermont County, Ohio: Ohio Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 5,192 people living in the township, 2,610 of whom were in the unincorporated portions of the township.
Document 10: Hamilton Township, Franklin County, Pennsylvania: Hamilton Township is a township in Franklin County, Pennsylvania, United States. The population was 10,788 at the 2010 census, up from 8,949 at the 2000 census.
Document 11: Washington Township, Clermont County, Ohio: Washington Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 2,278 people living in the township, 1,993 of whom were in the unincorporated portions of the township.
Document 12: Miami Township, Clermont County, Ohio: Miami Township is one of the fourteen townships of Clermont County, Ohio, United States. The population at the 2010 census was 40,848, up from 36,632 in 2000. The township's students are served mostly by Milford Exempted Village Schools.
Document 13: Wayne Township, Belmont County, Ohio: Wayne Township is one of the sixteen townships of Belmont County, Ohio, United States. The 2010 census found 709 people in the township.
Document 14: Wayne Township, Monroe County, Ohio: Wayne Township is one of the eighteen townships of Monroe County, Ohio, United States. As of the 2010 census, the population was 362.
Document 15: Wayne Township, Clermont County, Ohio: Wayne Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 4,885 people living in the township, 4,493 of whom were in the unincorporated portions of the township.
ground_truth: Alexander Hamilton
sub_queries: Wayne Township >> located in the administrative territorial entity Answer: Clermont County
Clermont County >> shares border with Answer: Hamilton County
Hamilton County >> named after Answer: Alexander Hamilton