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

full_context: Document 1: Battle of Appomattox Station: The Battle of Appomattox Station was fought between a Union Army (Army of the Potomac, Army of the James, Army of the Shenandoah) cavalry division under the command of Brigadier General (Brevet Major General) George Armstrong Custer and Confederate Army of Northern Virginia artillery units commanded by Brigadier General Lindsay Walker with support from some dismounted cavalrymen, artillerymen armed with muskets and some stragglers on April 8, 1865, at Appomattox Station, Virginia during the Appomattox Campaign of the American Civil War.
Document 2: Thomas Custer: Thomas Ward Custer (March 15, 1845 – June 25, 1876) was a United States Army officer and two-time recipient of the Medal of Honor for bravery during the American Civil War. He was a younger brother of George Armstrong Custer's, and perished with him and their younger brother, Boston Custer, at Little Bighorn in the Montana Territory.
Document 3: Battle of Cedar Mountain: The Battle of Cedar Mountain, also known as Slaughter's Mountain or Cedar Run, took place on August 9, 1862, in Culpeper County, Virginia, as part of the American Civil War. Union forces under Maj. Gen. Nathaniel P. Banks attacked Confederate forces under Maj. Gen. Thomas J. "Stonewall" Jackson near Cedar Mountain as the Confederates marched on Culpeper Court House to forestall a Union advance into central Virginia. After nearly being driven from the field in the early part of the battle, a Confederate counterattack broke the Union lines resulting in a Confederate victory. The battle was the first combat of the Northern Virginia Campaign.
Document 4: George Meade: George Gordon Meade (December 31, 1815 – November 6, 1872) was a career United States Army officer and civil engineer involved in the coastal construction of several lighthouses. He fought with distinction in the Second Seminole War and the Mexican–American War. During the American Civil War he served as a Union general, rising from command of a brigade to command of the Army of the Potomac. He is best known for defeating Confederate General Robert E. Lee at the Battle of Gettysburg in 1863.
Document 5: Gettysburg Campaign: The Gettysburg Campaign was a military invasion of Pennsylvania by the main Confederate army under General Robert E. Lee in summer 1863. The Union won a decisive victory at Gettysburg July 1–3, with heavy casualties on both sides. Lee managed to escape back to Virginia with most of his army. It was a turning point in the American Civil War, with Lee increasingly pushed back toward Richmond until his surrender in April 1865. After his victory in the Battle of Chancellorsville, Lee's Army of Northern Virginia moved north for a massive raid designed to obtain desperately needed supplies, to undermine civilian morale in the North, and to encourage anti-war elements. The Union Army of the Potomac was commanded by Maj. Gen. Joseph Hooker and then (from June 28) by Maj. Gen. George G. Meade.
Document 6: 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.
Document 7: Battle of Chancellorsville: The Battle of Chancellorsville was a major battle of the American Civil War (1861–1865), and the principal engagement of the Chancellorsville Campaign. It was fought from April 30 to May 6, 1863, in Spotsylvania County, Virginia, near the village of Chancellorsville. Two related battles were fought nearby on May 3 in the vicinity of Fredericksburg. The campaign pitted Union Army Maj. Gen. Joseph Hooker's Army of the Potomac against an army less than half its size, General Robert E. Lee's Confederate Army of Northern Virginia. Chancellorsville is known as Lee's "perfect battle" because his risky decision to divide his army in the presence of a much larger enemy force resulted in a significant Confederate victory. The victory, a product of Lee's audacity and Hooker's timid decision making, was tempered by heavy casualties, including Lt. Gen. Thomas J. "Stonewall" Jackson. Jackson was hit by friendly fire, requiring his left arm to be amputated; he died of pneumonia eight days later, a loss that Lee likened to losing his right arm.
Document 8: Battle of Gettysburg: The Battle of Gettysburg ( , with an sound) was fought July 1–3, 1863, in and around the town of Gettysburg, Pennsylvania, by Union and Confederate forces during the American Civil War. The battle involved the largest number of casualties of the entire war and is often described as the war's turning point. Union Maj. Gen. George Meade's Army of the Potomac defeated attacks by Confederate Gen. Robert E. Lee's Army of Northern Virginia, halting Lee's invasion of the North.
Document 9: Battle of West Point: The Battle of West Point was fought on April 16, 1865 in West Point, Georgia, during General James H. Wilson's raid in the South during the American Civil War. This battle was fought at Fort Tyler seven days after Confederate General Robert E. Lee surrendered to Union General Ulysses S. Grant and two days after the assassination of President Abraham Lincoln, making it one of the last battles of the Civil War east of the Mississippi River and making Fort Tyler the last Confederate fort captured by the Union. The same day, just 30 miles to the south, the Battle of Columbus, Georgia, was fought by another division of Wilson's raiders. News of the surrender of Robert E. Lee's Army of Northern Virginia reached the opposing forces in Georgia the day after the battle effectively ending the war east of the Mississippi River.
Document 10: Henry Armstrong Reed: Henry Armstrong Reed (April 27, 1858 – June 25, 1876) was the nephew of George Armstrong Custer, Thomas Custer, and Boston Custer. Although not an official soldier, he was killed along with them at the Battle of the Little Bighorn at the age of 18.
Document 11: 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.
Document 12: Boston Custer: Boston Custer (October 31, 1848 – June 25, 1876) was the youngest brother of U.S. Army Lt Colonel George Armstrong Custer and two-time Medal of Honor recipient Captain Thomas Custer. He was killed at the Battle of the Little Bighorn along with his two brothers.
Document 13: Battle of Washita River: The Battle of Washita River (also called Battle of the Washita or the Washita Massacre) occurred on November 27, 1868 when Lt. Col. George Armstrong Custer’s 7th U.S. Cavalry attacked Black Kettle’s Southern Cheyenne camp on the Washita River (near present-day Cheyenne, Oklahoma), part of a major winter encampment of numerous Native American tribal bands.
Document 14: 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.
Document 15: Custer Monument (West Point): Custer Monument is a monument at the United States Military Academy Cemetery, in honor of Lieutenant Colonel George Armstrong Custer who was killed along with his immediate command at the Battle of the Little Bighorn on 25 June 1876. Congress approved of a statue, to be made from 20 condemned bronze canons, and for $10,000, of which $6,000 had been subscribed by citizens of New York. The monument was originally located near the academy's headquarters building near the site of present day Taylor Hall along Thayer Road. Unveiled in 1879, the pedestal had a bronze statue of Custer wielding a saber and a pistol. Custer's widow and many officers did not approve of this likeness and after only five years, the statue was removed and sent to New York City where Stanford White was supposed to remove the bust, to be displayed in the library. However after White's murder, its whereabouts have since been lost. The pedestal was moved to Custer's grave site in the West Point Cemetery during the construction of Taylor Hall around 1910. In 1965, a stone obelisk was placed atop the pedestal.
ground_truth: Battle of Culpeper Court House