Question: Isabel Maria de Alcântara, Duchess of Goiás was a Brazillian noble and the daughter of what Brazillian ruler know as "the Liberator"?

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Antônio Castilho de Alcântara Machado: Antônio Castilho de Alcântara Machado de Oliveira (May 25, 1901 – April 14, 1935) was a Brazilian journalist, politician and writer.  He didn't take part of the Week of Modern Art (1922) in São Paulo, but even though wrote a great many modernist chronicles and short stories and also an unfinished novel.  Antônio de Alcântara Machado's extensive correspondence with journalist Prudente de Moraes Neto was published in 1997.

Brazilian imperial family: The Brazilian Imperial Family is a royal family and cadet branch of the Portuguese Royal House of Braganza that ruled the Empire of Brazil for 67 years, between 1822 and 1889, after the proclamation of independence by Prince Pedro of Braganza who was later acclaimed as Pedro I, "Constitutional Emperor and Perpetual Defender of Brazil".  The members of the family are dynastic descendants of Emperor Pedro I. Claimants to headship of the post-monarchic Brazilian Imperial legacy descend from Emperor Pedro II, including the senior agnates of two branches of the House of Orléans-Braganza; the so-called "Petrópolis" and "Vassouras" lines.  Prince Pedro Carlos of Orléans-Braganza (born 1945) heads the "Petrópolis" line, while the "Vassouras" branch is led by his second cousin, Prince Luiz of Orléans-Braganza.  Rivalry within the family erupted in 1946 when "Dom" Pedro Gastão (1913–2007) repudiated the renunciation to the throne of his late father, Pedro de Alcântara, Prince of Grão-Pará (1875–1940), for himself and his future descendants, when he made a non-dynastic marriage in 1908.  Pedro de Alcântara was the eldest son of the Princess Imperial Isabel (1846–1921) who, as Pedro II's elder daughter and heir presumptive when he was dethroned, became the last undisputed head of the family after her father's death in exile in 1891.  Pedro Carlos is "Dom" Pedro Gastão's eldest son.  "Dom" Luiz descends from Isabel's younger son, Prince Luís (1878–1920) who, by a Bourbon princess, fathered Prince Pedro Henrique (1909–1981).  Dom Luiz is Pedro Henrique's son by a Bavarian princess and upholds his dynastic claim to the same legacy.

Pedro I of Brazil: Dom Pedro I (English: Peter I; 12 October 1798 – 24 September 1834), nicknamed "the Liberator", was the founder and first ruler of the Empire of Brazil.  As King Dom Pedro IV, he reigned briefly over Portugal, where he also became known as "the Liberator" as well as "the Soldier King".  Born in Lisbon, Pedro I was the fourth child of King Dom João VI of Portugal and Queen Carlota Joaquina, and thus a member of the House of Braganza.  When their country was invaded by French troops in 1807, he and his family fled to Portugal's largest and wealthiest colony, Brazil.

Infanta Maria Francisca of Portugal: Infanta Maria Francisca of Portugal (or of Bragança; ] ; English: Mary Frances ; full name: "Maria Francisca de Assis da Maternidade Xavier de Paula e de Alcântara Antónia Joaquina Gonzaga Carlota Mónica Senhorinha Sotera e Caia de Bourbon e Bragança"; 22 April 1800 – 4 September 1834) was a Portuguese "infanta" (princess) daughter of King John VI of Portugal and his spouse Carlota Joaquina of Spain.

Alcântara Launch Center: The Alcântara Launch Center (Portuguese: "Centro de Lançamento de Alcântara (CLA)" ) is a satellite launching base of the Brazilian Space Agency in the city of Alcântara, located on Brazil's northern Atlantic coast, in the state of Maranhão.  It is operated by the Brazilian Air Force ("Comando da Aeronáutica" ).  The CLA is the closest launching base to the equator.  This gives the launch site a significant advantage in launching geosynchronous satellites, an attribute shared by the Guiana Space Centre.

Pedro de Alcântara, Prince of Grão-Pará: "Dom" Pedro de Alcântara of Orléans-Braganza, Prince of Grão Pará (15 October 1875 – 29 January 1940) was the first-born son of "Dona" Isabel, Princess Imperial of Brazil and Prince Gaston of Orléans, Count of Eu, and as such, was born second-in-line to the imperial throne of Brazil, during the reign of his grandfather, Emperor "Dom" Pedro II, until the empire's abolition.  He went into exile in Europe with his mother when his grandfather was deposed in 1889, and grew up largely in France, at a family apartment in Boulogne-sur-Seine, and at his father's castle, the Château d'Eu in Normandy.

Prince João Maria of Orléans-Braganza: João was born in Boulogne-Billancourt, France to Pedro de Alcântara, Prince of Grão-Pará and Countess Elisabeth Dobržensky de Dobrženicz.  His father had been a member of the Brazilian Imperial Family but had joined his mother Isabel, Princess Imperial of Brazil in exile after the abolition of the monarchy.  When João was 19, he emigrated to Brazil.

Isabel Maria de Alcântara, Duchess of Goiás: Isabel Maria de Alcântara, Duchess of Goiás (3 May 1824 – 23 November 1898), was a Brazilian noble, the illegitimate daughter of Emperor Pedro I of Brazil and Domitila de Castro, Marchioness of Santos.

Maria Isabel de Alcântara, Countess of Iguaçu: Maria Isabel de Alcântara Bourbon (São Paulo, 28 February 1830 – 5 September 1896) was the third daughter (fifth child) of Emperor Pedro I of Brazil and his mistress, Domitila de Castro, Marchioness of Santos.

Princess Isabel Maria of Braganza: Isabel Maria of Braganza, Infanta of Portugal (Isabel Maria Alberta Josefa Micaela Gabriela Rafaela Francisca de Paula e de Assis Teresa Adelaide Eulália Sofia Carolina; 19 November 1894, Kleinheubach, Kingdom of Bavaria – 12 January 1970, Regensburg, Bavaria, Germany) was a member of the House of Braganza and Infanta of Portugal by birth.  Through her marriage to Franz Joseph, 9th Prince of Thurn and Taxis, Isabel Maria was also a member of the House of Thurn and Taxis and Princess consort of Thurn and Taxis.

Supporting paragraphs: Isabel Maria de Alcântara, Duchess of Goiás Pedro I of Brazil
Answer: Pedro I of Brazil