Question: What was the battle cited as at which John Brown commanded forces during the Kansas campaign and took place on June 2, 1856?

Context paragraphs:
Battle of Aqbat al-Bakr: The Battle of Aqbat al-Bakr (2 June 1010) was a battle of the Fitna of al-Andalus that took place in the area in and around Espiel, Spain.  The battle took place between the forces of the Caliphate of Cordoba, whose forces were commanded by Sulayman ibn al-Hakam, and the Muslim rebel forces of the Catalan-Andalusian alliance trying to overthrow their Caliph overlords under the command of Muhammad ibn Hisham, al-Tagr Al-Awsat and several Christian warlords including Ermengol I, Hugh I, and Ramon Borrell.

Polyxenidas: Polyxenidas a Rhodian general and admiral, who was exiled from his native country, and entered the service of Antiochus III the Great, king of Seleucid Empire.  We first find him mentioned in 209 BC, when he commanded a body of Cretans mercenaries during the expedition of Antiochus into Hyrcania .  But in 192 BC, when the Syrian king had determined upon war with Rome, and crossed over into Greece to commence it, Polyxenidas obtained the chief command of his fleet.  After co-operating with Menippus in the reduction of Chalcis, he was sent back to Asia to assemble additional forces during the winter.  We do not hear any thing of his operations in the ensuing campaign, 191 BC, but when Antiochus, after his defeat at the Battle of Thermopylae (191 BC), withdrew to Asia, Polyxenidas was again appointed to command the king's main fleet on the Ionian coast.  Having learnt that the praetor Gaius Livius Salinator was arrived at Delos with the Roman fleet, he strongly urged upon the king the expediency of giving him battle without delay, before he could unite his fleet with those of Eumenes II of Pergamon and the Rhodians.  Though his advice was followed, it was too late to prevent the junction of Eumenes with Livius, but Polyxenidas gave battle to their combined fleets off Corycus.  The superiority of numbers, however, decided the victory in favour of the allies ; thirteen ships of the Syrian fleet were taken and ten sunk, while Polyxenidas himself, with the remainder, took refuge in the port of Ephesus.  Here he spent the winter in active preparations for a renewal of the contest ; and early in the next spring (b. c. 190), having learnt that Pausistratus, with the Rhodian fleet, had already put to sea, he conceived the idea of surprising him before he could unite his forces with those of Livius.  For this purpose he pretended to enter into negotiations with him for the betrayal into his hands of the Syrian fleet, and having by this means deluded him into a fancied security, suddenly attacked him, and destroyed almost his whole fleet.  After this success he sailed to Samos to give battle to the fleet of the Roman admiral and Eumenes, but a storm prevented the engagement, and Polyxenidas withdrew to Ephesus.  Soon after, Livius, having been reinforced by a fresh squadron of twenty Rhodian ships under Eudamus (Rhodian), proceeded in his turn to offer battle to Polyxenidas, but this the latter now declined.  Lucius Aemilius Regillus, who soon after succeeded Livius in the command of the Roman fleet, also attempted without effect to draw Polyxenidas forth from the port of Ephesus : but at a later period in the season Eumenes, with his fleet, having been detached to the Hellespont while a considerable part of the Rhodian forces were detained in Lycia, the Syrian admiral seized the opportunity and sallied out to attack the Roman fleet.  The action took place at Battle of Myonessus near Teos, but terminated in the total defeat of Polyxenidas, who lost 42 of his ships, and made a hasty retreat with the remainder to Ephesus.  Here he remained until he received the tidings of the fatal battle of Magnesia, on which he sailed to Patara in Lycia, and from thence proceeded by land to join Antiochus in Syria.  After this his name is not again mentioned.

Battle of Clitheroe: The Battle of Clitheroe was a battle between a force of Scots and English knights and men at arms which took place on 10 June 1138 during the period of The Anarchy.  The battle was fought on the southern edge of the Bowland Fells, at Clitheroe, Lancashire.  It took place in the course of an invasion of England by King David I of Scotland.  In the summer of 1138, King David split his army into two forces.  One of them, commanded by William fitz Duncan, Mormaer of Moray, marched into Lancashire.  There he harried Furness and Craven.  On 10 June, William fitz Duncan was met by a force of knights and men-at-arms.  A pitched battle took place and the result was that the English army was routed.  The battle was a prelude to the Battle of the Standard later in the summer, where the result was reversed.

John Brown Farm State Historic Site: The John Brown Farm State Historic Site includes the home and final resting place of abolitionist John Brown.  It is located on John Brown Road in North Elba near Lake Placid, New York, where John Brown moved in 1849 to lead freed slaves in farming.  In 1855, he moved to Kansas to support his sons' efforts to keep Kansas as a free-state under the popular sovereignty laws, leaving his wife and several of his children behind.  Brown returned to visit his family at Lake Placid several times.  In 1859, Brown attempted to start a liberation movement among enslaved African Americans by seizing the arsenal at Harpers Ferry, Virginia (now West Virginia).  For this, he was tried for treason against the state of Virginia and was hanged.

North Point State Battlefield: North Point State Battlefield is a publicly owned historic preserve in Dundalk, Baltimore County, Maryland, that commemorates a portion of the site where the Battle of North Point was fought during the War of 1812.  On September 12, 1814, Brigadier General John Stricker commanded forces of the Maryland Militia from within the park's borders.  Stricker's men fought the invading British forces from behind a fenceline along the monument's eastern edge.

Battle of Black Jack: The Battle of Black Jack took place on June 2, 1856, when anti-slavery forces, led by the noted abolitionist John Brown, attacked the encampment of Henry C. Pate near Baldwin City, Kansas.  The battle is cited as one incident of "Bleeding Kansas" and a contributing factor leading up to the American Civil War of 1861 to 1865.

Battle of Osawatomie: The Battle of Osawatomie took place on August 30, 1856 when 250-400 Border Ruffians led by John W. Reid attacked the town of Osawatomie.  Reid was intent on destroying the free state settlement and then moving on to Topeka and Lawrence to do more of the same.  John Brown first learned of the raiders when they shot his son Frederick.  With 40 or so men, Brown tried to defend the town against the pro-slavery partisans, but had to withdraw; the town of Osawatomie was then looted and burned.  This was one event in series of clashes between abolitionists and pro-slavery Missourians in what has been known as Bleeding Kansas.

John Brown (abolitionist): John Brown (May 9, 1800 – December 2, 1859) was an American abolitionist who believed and advocated that armed insurrection was the only way to overthrow the institution of slavery in the United States.  Brown first gained attention when he led small groups of volunteers during the Bleeding Kansas crisis of 1856.  Dissatisfied with the pacifism of the organized abolitionist movement, he said, "These men are all talk.  What we need is action—action!"  During the Kansas campaign, Brown commanded forces at the Battle of Black Jack and the Battle of Osawatomie.  He and his supporters killed five supporters of slavery in the Pottawatomie massacre of May 1856 in response to the sacking of Lawrence by pro-slavery forces.

Pottawatomie massacre: The Pottawatomie massacre occurred during the night of May 24 and the morning of May 25, 1856.  In reaction to the sacking of Lawrence, Kansas by pro-slavery forces, John Brown and a band of abolitionist settlers—some of them members of the Pottawatomie Rifles—killed five settlers north of Pottawatomie Creek in Franklin County, Kansas.  This was one of the many bloody episodes in Kansas preceding the American Civil War, which came to be known collectively as Bleeding Kansas.  Bleeding Kansas was largely brought about by the Missouri Compromise and the Kansas–Nebraska Act.

Battle of Ajdabiya: The Battle of Ajdabiya was an armed battle in and near the city of Ajdabiya that took place as part of the Libyan Civil War.  It was fought between anti-government rebels and military forces loyal to the Libyan leader Muammar Gaddafi.  Following the Second Battle of Brega, in which pro-Gaddafi forces captured the town, Ajdabiya was the only major rebel-held city left en route to the rebel capital of Benghazi.  The battle for Ajdabiya had been cited as a potential turning point in the conflict on which the fate of the whole rebellion against the Gaddafi government may be decided.  On 26 March 2011, Libyan rebels, backed by extensive allied air raids, seized control of the frontline oil town of Ajdabiya from Colonel Muammar Gaddafi's forces.  During the first phase of the battle, pro-Gaddafi forces seized the strategic road junction leading to Benghazi and Tobruk, and captured most of the city.  The city centre remained in rebel hands, but was surrounded by pro-government forces and cut off from outside assistance.  After the second phase, anti-Gaddafi forces recaptured the road junction and cleared loyalist forces from the city, sending them retreating down the Libyan Coastal Highway towards Sirte.

Supporting paragraphs: John Brown (abolitionist) Battle of Black Jack
Answer: Bleeding Kansas