Question: Archduchess Catherine Renata of Austria is a member of one of the most influential and outstanding royal houses of Europe that was occupied by who between 1438-1740?

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Cecilia Renata of Austria: Archduchess Cecilia Renata of Austria (German: "Cäcilia Renata"; Polish: "Cecylia Renata"; 16 July 1611 – 24 March 1644) was Queen of Poland as consort to the Polish-Lithuanian Commonwealth's King Władysław IV Vasa.

Archduchess Maria Carolina of Austria (1740–1741): Archduchess Maria Carolina of Austria (full German name: "Maria Carolina Ernestina Antonia Johanna Josefa"; 12 January 1740 – 25 January 1741), was the third child and daughter of Archduchess Maria Theresa of Austria, later Holy Roman Empress and Duke Francis of Lorraine.

Archduchess Maria Antonia of Austria (1899–1977): Archduchess Maria Antonia of Austria German: "Maria Antonia, Erzherzogin von Österreich-Toskana" (13 July 1899 – 22 October 1977) was a daughter of Archduke Leopold Salvator of Austria and Infanta Blanca of Spain.  She was member of the Tuscan branch of the Imperial House of Habsburg, an Archduchess of Austria and Princess of Tuscany by birth.  In 1919, after the fall of the Austro Hungary Empire, she moved with her family to Spain.  In 1924 she married Ramón de Orlandis y Villalonga, a Spanish aristocrat.  When she became a widow during the Spanish civil war Archduchess Maria Antonia moved permanently to South America where she remarried.

Archduchess Catherine Renata of Austria: Archduchess Catherine Renata of Austria (4 January 1576 – 29 June 1599) was a member of the House of Habsburg.

Archduchess Assunta of Austria: Archduchess Assunta of Austria German: "Assunta, Erzherzogin von Österreich-Toskana" ;(10 August 1902 – 24 January 1993) was the youngest daughter of Archduke Leopold Salvator of Austria and Infanta Blanca of Spain.  She was a member of the Tuscan branch of the Imperial House of Habsburg, an Archduchess of Austria and Princess of Tuscany by birth.  Born and raised in the twilight years of the Austrian Empire, Archduchess Assunta lived in exile in Barcelona, Spain after the fall of the Habsburg monarchy.  She entered religious life in a convent in Barcelona, but was forced to leave it in 1936 due to disturbances during the Spanish Civil War.  In 1939, she married Joseph Hopfinger, a Polish doctor.  In 1942 the couple emigrated to the United States.  Archduchess Assunta and her husband had two daughters, but they divorced in 1950.  She moved to San Antonio, Texas where she had a variety of jobs living in anonymity until her death.

Powell (surname): Powell is a surname of Welsh origin.  It is a patronymic form of the Welsh name hywel (later anglicized as Howell), and the prefix "ap" meaning "son of", together forming ap Hywel, or "son of Hywel".  It is an uncommon name among those of Welsh ancestry.  It originates in a dynasty of kings in Wales, and Brittany in the 9th and 10th century, and three Welsh royal houses of that time onwards.  The House of Tudor one of the Royal houses of England, also descended from them.  See also: Howell (surname), and Welsh surnames.

House of Habsburg: The House of Habsburg ( ; ] ), also called House of Austria, was one of the most influential and outstanding royal houses of Europe.  The throne of the Holy Roman Empire was continuously occupied by the Habsburgs between 1438 and 1740.  The house also produced emperors and kings of the Kingdom of Bohemia, Kingdom of England ("Jure uxoris" King), Kingdom of Germany, Kingdom of Hungary, Kingdom of Croatia, Second Mexican Empire, Kingdom of Ireland ("Jure uxoris" King), Kingdom of Portugal, and Spain, as well as rulers of several Dutch and Italian principalities.  From the 16th century, following the reign of Charles V, the dynasty was split between its Austrian and Spanish branches.  Although they ruled distinct territories, they nevertheless maintained close relations and frequently intermarried.

Martín de Goiti: Martín de Goiti (c. 1534 - 1575) was one of the soldiers who accompanied the Spanish colonization of the East Indies and the Pacific, in 1565.  From his main base in Mexico City, he was the leader of the expedition to Manila, ordered by Miguel López de Legazpi in 1569.  There, he fought a number of battles against the Muslim, Tariq Suleiman/Soliman (Arabic سليمان), the Hindu Rajah Matanda (Hindi ऋअज ंअतन्द), and the Taoist Lakan Dula (trad.  Chinese 王 杜拉) of the kingdoms in Luzon; for control of the lands and its settlements.  He is also known for his statesmanship by betrothing his sister to Batang Dula, the eldest son and successor apparent of Lakan Dula of Tondo (trad.  Chinese"東都" pronounced Dongdu), the paramount ruler of Manila.  Eventually their descendants unified the 3 royal houses of Tariq Suleiman, Rajah Matanda and Lakan Dula with the Basque Goiti family.  The Dula y Goiti family eventually married with the Mendoza family who came over from Latin-America, who were Sephardic Hebrews that were practicing Catholics.  Afterwards, the Dula y Goiti surname was shortened to Dulay.  However, during the Spanish era, some descendants changed their surnames even further in order to avoid persecution and among which; the Salonga and Macapagal families are known descendants of these royal houses albeit only through a different family name.

Archduchess Maria Immakulata of Austria: Archduchess Maria Immakulata of Austria (German: "Maria Immakulata Rainera Josepha Ferdinande Theresia Leopoldine Antoinette Henriette Franziska Karoline Aloysia Januaria Christine Philomena Rosalia, Erzherzogin von Österreich, Prinzessin von Toskana" ) (3 September 1878, Baden bei Wien, Lower Austria, Austria–Hungary – 25 November 1968, Schloss Altshausen, Altshausen, Baden-Württemberg, Germany) was a member of the House of Habsburg-Tuscany and Archduchess of Austria, Princess of Tuscany by birth.  Maria Immakulata was the seventh child and fifth eldest daughter of Archduke Karl Salvator of Austria and his wife Princess Maria Immaculata of Bourbon-Two Sicilies.

Archduchess Karoline Marie of Austria: Archduchess Karoline Marie of Austria (German: "Carolina Maria Immakulata Josepha Ferdinanda Therese Leopoldine Antoinette Franziska Isabella Luise Januaria Christine Benedikta Laurencia Justiniana, Erzherzogin von Österreich, Prinzessin von Toskana" ) (5 September 1869, Altmünster, Upper Austria, Austria–Hungary – 12 May 1945, Budapest, Hungary) was a member of the House of Habsburg-Tuscany and Archduchess of Austria, Princess of Tuscany by birth.  Through her marriage to Prince August Leopold of Saxe-Coburg and Gotha, Karoline was also a member of the Koháry branch of the House of Saxe-Coburg and Gotha.  Karoline was the fourth child and second eldest daughter of Archduke Karl Salvator of Austria and his wife Princess Maria Immaculata of Bourbon-Two Sicilies.  She was Princess-Abbess of the Theresian Royal and Imperial Ladies Chapter of the Castle of Prague (1893-1894).

Supporting paragraphs: Archduchess Catherine Renata of Austria House of Habsburg
Answer: the Habsburgs