Question: Archduke Maximilian Francis of Austria (full German name: Maximilian Franz Xaver Joseph Johann Anton de Paula Wenzel von Österreich), was Archbishop and Elector Spiritual of Cologne, and Grand Master of the Teutonic Knights, his siblings include which Holy Roman Emperor, from 1765 to 1790 and ruler of the Habsburg lands from 1780 to 1790?

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Archduke Joseph, Palatine of Hungary: Joseph Anton Johann, Archduke of Austria (German: "Erzherzog Joseph Anton Johann Baptist von Österreich-Toscana, a.k.a. Joseph Anton Johann von Österreich" , Hungarian: "Habsburg-Toscanai József Antal János főherceg, a.k.a. József nádor" , Czech: "Josef Habsbursko-Lotrinský" , 9 March 1776, Florence – 13 January 1847, Buda), was the Palatine of Hungary from 1796 to 1847.  He was the seventh son of Leopold II, Holy Roman Emperor and Maria Luisa of Spain.

Archduke Maximilian of Austria-Este: Archduke Maximilian Joseph of Austria-Este (July 14, 1782 – June 1, 1863), the fourth son of Archduke Ferdinand of Austria-Este and younger brother of Francis IV, Duke of Modena.  He was grand master of the Teutonic Knights from 1835 to 1863.

Karl Anselm, 4th Prince of Thurn and Taxis: Karl Anselm, 4th Prince of Thurn and Taxis, full German name: "Karl Anselm Fürst von Thurn und Taxis" (2 June 1733, Frankfurt am Main, Free Imperial City of Frankfurt, Holy Roman Empire – 13 November 1805, Winzer bei Regensburg, Electorate of Bavaria, Holy Roman Empire) was the fourth Prince of Thurn and Taxis, Postmaster General of the Imperial Reichspost, and Head of the Princely House of Thurn and Taxis from 17 March 1773 until his death on 13 November 1805.  Karl Anselm served as "Prinzipalkommissar" at the Perpetual Imperial Diet in Regensburg for Joseph II, Holy Roman Emperor and Francis II, Holy Roman Emperor from 1773 to 1797.

Suleiman (elephant): Suleiman (or Süleyman; Portuguese: Salomão ) (c. 1540 – 18 December 1553) was an Asian Elephant ("Elephas maximus maximus") that was presented to the Habsburg Archduke Maximilian II (later King of Bohemia, King of Hungary, and Holy Roman Emperor) by King John III of Portugal and his wife, Catherine of Austria, Habsburg princess and youngest sister of the Emperor Charles V.  This young elephant bull was born in captivity in the royal stables of the Tamil Hindu Bhuvanekabahu VII of Kotte (r. 1521–1551), King of Kotte (Ceylon).  The elephant came as a small baby to Lisbon with the entourage of the Kotte Ambassador Sri Ramaraska Pandita, sent to Portugal on a special diplomatic mission in 1542.  The mission is seen as a duplication of the Tamil embassy to Europe from Kudiramalai to the Roman emperor Claudius where Pliny describes how the inhabitants of the west coast kingdom's delighted in the elephant and the tiger c 47 CE.  The baby elephant Suleiman was seen as both a diplomatic and auspicious gift for the Portuguese monarchs, John III and Catherine.

Archduke Anton Victor of Austria: Anton Victor, Viceroy of Lombardy-Venetia (full German name: Anton Viktor Joseph Johann Raimund von Österreich, 31 August 1779 – 2 April 1835) was an Archduke of Austria and a Grand Master of the Teutonic Knights.  He was also briefly the last Archbishop and Elector of Cologne and Prince-Bishop of Münster before those territories were secularised in 1803.

Joseph II, Holy Roman Emperor: Joseph II (Joseph Benedikt Anton Michael Adam; 13 March 1741 – 20 February 1790) was Holy Roman Emperor from 1765 to 1790 and ruler of the Habsburg lands from 1780 to 1790.  He was the eldest son of Empress Maria Theresa and her husband, Emperor Francis I, and was the brother of Marie Antoinette.  He was thus the first ruler in the Austrian dominions of the House of Lorraine, styled Habsburg-Lorraine.  Joseph was a proponent of enlightened absolutism; however, his commitment to modernizing reforms subsequently engendered significant opposition, which eventually culminated in an ultimate failure to fully implement his programmes.  He has been ranked, with Catherine the Great of Russia and Frederick the Great of Prussia, as one of the three great Enlightenment monarchs.  His policies are now known as Josephinism.  He died with no sons and was succeeded by his younger brother, Leopold II.

List of monarchs of Prussia: The monarchs of Prussia were members of the House of Hohenzollern who were the hereditary rulers of the former German state of Prussia from its founding in 1525 as the Duchy of Prussia.  The Duchy had evolved out of the Teutonic Order, a Roman Catholic crusader state and theocracy located along the eastern coast of the Baltic Sea.  The Teutonic Knights were under the leadership of a Grand Master, the last of whom, Albert, converted to Protestantism and secularized the lands, which then became the Duchy of Prussia.  The Duchy was initially a vassal of the Kingdom of Poland, as a result of the terms of the Prussian Homage whereby Albert was granted the Duchy as part of the terms of peace following the Prussian War.  When the main line of Prussian Hohenzollerns died out in 1618, the Duchy passed to a different branch of the family, who also reigned as Electors of Brandenburg in the Holy Roman Empire.  While still nominally two different territories, Prussia under the suzerainty of Poland and Brandenburg under the suzerainty of the Holy Roman Empire, the two states are known together historiographically as Brandenburg-Prussia.  Following the Second Northern War, a series of treaties freed the Duchy of Prussia from any vassalage to any other state, making it a fully sovereign Duchy in its own right.  This complex situation (where the Hohenzollern ruler of the independent Duchy of Prussia was also a subject of the Holy Roman Emperor as Elector of Brandenburg) laid the eventual groundwork for the establishment of the Kingdom of Prussia in 1701.  For diplomatic reasons, the rulers of the state were known as the King in Prussia from 1701 to 1772; largely because they still owed fealty to the Emperor as Electors of Brandenburg, the "King in Prussia" title (as opposed to "King of Prussia") avoided offending the Emperor.  As the Prussian state grew through several wars and diplomatic moves throughout the 18th century, it became apparent that Prussia had become a Great Power that did not need to submit meekly to the Holy Roman Empire.  By 1772, the pretense was dropped, and the style "King of Prussia" was adopted.  Thus it remained until 1871, when in the aftermath of the Franco-Prussian War, the King of Prussia Wilhelm I was crowned German Emperor.  From that point forward, though the Kingdom of Prussia retained its status as a constituent state of the German Empire, all remaining Kings of Prussia also served as German Emperor, and that title took precedence.

Archduke Joseph Karl of Austria: Archduke Joseph Karl of Austria (German: "(Erzherzog) Josef Karl (Ludwig) von Österreich" , Hungarian: "Habsburg–Toscanai József Károly (Lajos) főherceg" ; 2 March 1833 in Pressburg – 13 June 1905 in Fiume) was a member of the Habsburg dynasty.  He was the second son of Archduke Joseph, Palatine of Hungary (7th son of Leopold II, Holy Roman Emperor) and Duchess Maria Dorothea of Württemberg.

Archduke Maximilian Francis of Austria: Archduke Maximilian Francis of Austria (full German name: Maximilian Franz Xaver Joseph Johann Anton de Paula Wenzel von Österreich, 8 December 1756 in Vienna – 26 July 1801 in Vienna) was Archbishop and Elector Spiritual of Cologne (and as such Chancellor of the Holy Roman Empire for Italy), and Grand Master of the Teutonic Knights.  He was the youngest child of the Habsburg ruler of Austria, Maria Theresa, and her husband, Francis I, Holy Roman Emperor, for whom he was named.  His siblings included Holy Roman Emperors Joseph II and Leopold II, Maria Carolina, Queen of Naples and Sicily, and Marie Antoinette, Queen of France and Navarre.  He was the last fully functioning Elector of Cologne and was the employer and patron of the young Ludwig van Beethoven.

Battle of Grunwald: The Battle of Grunwald, First Battle of Tannenberg or Battle of Žalgiris, was fought on 15 July 1410 during the Polish–Lithuanian–Teutonic War.  The alliance of the Kingdom of Poland and the Grand Duchy of Lithuania, led respectively by King Władysław II Jagiełło (Jogaila) and Grand Duke Vytautas, decisively defeated the German–Prussian Teutonic Knights, led by Grand Master Ulrich von Jungingen.  Most of the Teutonic Knights' leadership were killed or taken prisoner.  Although defeated, the Teutonic Knights withstood the siege of their fortress in Marienburg (Malbork) and suffered minimal territorial losses at the Peace of Thorn (1411) (Toruń), with other territorial disputes continuing until the Peace of Melno in 1422.  The knights, however, would never recover their former power, and the financial burden of war reparations caused internal conflicts and an economic downturn in the lands under their control.  The battle shifted the balance of power in Central and Eastern Europe and marked the rise of the Polish–Lithuanian union as the dominant political and military force in the region.

Supporting paragraphs: Archduke Maximilian Francis of Austria Joseph II, Holy Roman Emperor
Answer: Joseph II