Question: Louis McLane Hamilton served under a General who was wounded during what battle in Virginia?

Context paragraphs:
Mark R. Hamilton: Mark R. Hamilton (born ca. 1945) is an American academic, and the immediate past president of the University of Alaska.  Hamilton graduated with his bachelor's degree from the U.S. Military Academy.  He received his master's degree in English Literature from Florida State University.  In addition he graduated from the Armed Forces Staff College in Virginia, and the U.S. Army War College in Pennsylvania.  In 1998 he was selected to be President of the University of Alaska System.  Prior to this position, Hamilton served in the United States Army where he earned the rank of Major General.  His last major military duty post was as head of recruiting for the Army.  He retired with 31 years of service and accepted the president's position at UA soon after.

Louis McLane House: Louis McLane House was a historic home located at Wilmington, New Castle County, Delaware.  It was built before 1792, and is an example of an 18th-century urban residence.  It is a 3 1/2-story, three-bay, brick dwelling with a gable roof later modified for commercial uses.  It was the home of Congressman Louis McLane (1786–1857) and the birthplace of American politician, military officer, and diplomat Robert Milligan McLane (1815–1898) and Lydia Milligan Sims McLane (1822–1887), wife of Confederate General Joseph E. Johnston.

Louis McLane Hamilton: Louis McLane Hamilton (1844–1868) was an officer in the United States Army during and after the American Civil War.  He served as a captain under General George Armstrong Custer in the Indian Territory in present-day Oklahoma, where he died at the age of 24 while leading a charge in the Battle of Washita River.  He was a grandson of Alexander Hamilton, one of the Founding Fathers of the United States.

Rebecca Hamilton (politician): Rebecca Hamilton (born January 8, 1948) is a politician from the U.S. state of Oklahoma.  Hamilton served in the Oklahoma House of Representatives from 1981 to 1986 and again in 2003 until 2015.  Both times Hamilton represented district 89.  She is married to Rodney Hargrave and has two children, John and Hamilton.

William S. Hamilton: William Stephen Hamilton (August 4, 1797 – October 9, 1850), a son of Alexander Hamilton and Elizabeth Schuyler Hamilton, was an American politician and miner who lived much of his life in the U.S. state of Illinois and territorial Wisconsin.  Hamilton was born in New York, where he attended the United States Military Academy before he resigned and moved to Illinois in 1817.  In Illinois he lived in Springfield and Peoria and eventually migrated to the lead-mining region of southern Wisconsin and established Hamilton's Diggings at present-day Wiota.  Hamilton served in various political offices and as a commander in two Midwest Indian Wars.  In 1849 he moved to California on the heels of the California Gold Rush.  He died in Sacramento, most likely of cholera, in October 1850.

Allen McLane: Allan McLane (August 8, 1746 – May 22, 1829) was an officer in the Continental Army during the American Revolution.  He was then appointed as first United States Marshal of Delaware on September 26, 1789. <ref name="http://www.usmarshals.gov"> </ref> He was appointed as Collector of the Port of Wilmington in 1797 and remained in that office until his death on May 22, 1829, at the age of 83.  His son, Louis McLane, served as the U.S. Secretary of State for President Andrew Jackson.

George Armstrong Custer: Custer developed a strong reputation during the Civil War.  He participated in the first major engagement, the First Battle of Bull Run on July 21, 1861, near Washington, D.C. His association with several important officers helped his career as did his success as a highly effective cavalry commander.  Custer was brevetted to brigadier general at age 23, less than a week before the Battle of Gettysburg, where he personally led cavalry charges that prevented Confederate cavalry from attacking the Union rear in support of Pickett's Charge.  He was wounded in the Battle of Culpeper Court House in Virginia on September 13, 1863.  In 1864, Custer was awarded another star and brevetted to major general rank.  At the conclusion of the Appomattox Campaign, in which he and his troops played a decisive role, Custer was present at General Robert E. Lee's surrender to General Ulysses S. Grant, on April 9, 1865.

Louis McLane: Louis McLane (May 28, 1786 – October 7, 1857) was an American lawyer and politician from Wilmington, in New Castle County, Delaware, and Baltimore, Maryland.  He was a veteran of the War of 1812 and a member of the Federalist Party and later the Democratic Party.  He served as the U.S. Representative from Delaware, U.S. Senator from Delaware, U.S. Secretary of the Treasury, U.S. Secretary of State, Minister Plenipotentiary to the United Kingdom, and President of the Baltimore and Ohio Railroad.  As a member of President Andrew Jackson's Cabinet, McLane was a prominent figure during the Bank War.  McLane pursued a more moderate approach towards the Second Bank of the United States than the President, but agreed with Jackson's decision in 1832 to veto a Congressional bill renewing the Bank's charter.  He also helped draft the Force Bill in 1833.

Russ Hamilton: Russ Hamilton (born 1948 or 1949) is an American poker player.  He was the 1994 World Series of Poker main event champion, defeating Hugh Vincent in heads-up play to win $1 million in first-prize money, as well as his body weight in silver.  Following his World Series win, Hamilton served as a consultant for Ultimate Bet, an online poker server.  In 2008, the Kahnawake Gaming Commission found Hamilton largely responsible for cheating players on Ultimate Bet out of $6.1 million through software that allowed access to opponents' hole cards.  In 2009, Kahnawake increased the $6.1 million estimate to $22,100,000.

Bill Hamilton (West Virginia politician): William 'Bill' David Hamilton (born July 14, 1950 in Buckhannon, West Virginia) is an American politician and a Republican member of the West Virginia House of Delegates representing District 45 since January 12, 2013.  Hamilton served consecutively from January 2003 until January 2013 in the District 39 seat.

Supporting paragraphs: Louis McLane Hamilton George Armstrong Custer
Answer: Battle of Culpeper Court House