Question: Who is Infanta Maria Francisca Of Braganza's paternal grandfather?

Maria Francisca of Savoy
Dona Maria Francisca of Savoy (Marie Françoise Élisabeth; 21 June 1646 – 27 December 1683) was twice queen consort of Portugal as the spouse of two Portuguese kings:
Afonso VI and Peter II of Portugal.
She first became queen of Portugal at the age of 20 on the day of her marriage to Afonso VI; because the marriage was never consummated, she was able to obtain an annulment.
On 28 March 1668, she married Afonso's brother, the Infante Peter, Duke of Beja, who was appointed prince regent the same year due to Afonso's perceived incompetence.
Maria Francisca became queen of Portugal for the second time when Peter succeeded his brother as Peter II in 1683 but died herself later that year.
Infanta Maria Francisca of Braganza
Infanta Maria Francisca of Braganza ; 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.
Princess Maria Josepha of Saxony (1867–1944)
Princess Maria Josepha of Saxony( 31 May 1867 – 28 May 1944) was the mother of Emperor Charles I of Austria and the fifth child of George of Saxony and Infanta Maria Anna of Portugal.
John VI of Portugal
John VI (Portuguese: "João VI"; 13 May 1767 – 10 March 1826), nicknamed "the Clement", was King of the United Kingdom of Portugal, Brazil and the Algarves from 1816 to 1825.
Although the United Kingdom over which he ruled ceased to exist "de facto" beginning in 1822, he remained its monarch "de jure" between 1822 and 1825.
After the recognition of the independence of Brazil under the Treaty of Rio de Janeiro of 1825, he continued as King of Portugal until his death in 1826.
Under the same treaty, he also became titular Emperor of Brazil for life, while his son, Pedro I of Brazil, was both "de facto" and "de jure" the monarch of the newly-independent country.
Born in Lisbon in 1767, the son of Maria I and Peter III of Portugal, he was originally an "infante" (prince, but not heir to the throne) of Portugal.
He only became heir to the throne when his older brother José, Prince of Brazil, died of smallpox in 1788 at the age of 27.
Before his accession to the Portuguese throne, John VI bore the titles Duke of Braganza and Duke of Beja, as well as Prince of Brazil.
From 1799, he served as prince regent of Portugal (and later, from 1815, as prince regent of the United Kingdom of Portugal, Brazil and the Algarves), due to the mental illness of his mother, Queen Maria I.
In 1816, he succeeded his mother as monarch of the Portuguese Empire, with no real change in his authority, since he already possessed absolute powers as regent.
One of the last representatives of absolute monarchy in Europe, he lived during a turbulent period; his reign never saw a lasting peace.
Throughout his period of rule, major powers, such as Spain, France and Great Britain, continually intervened in Portuguese affairs.
Forced to flee to South America across the Atlantic Ocean into Brazil when troops of the Emperor Napoleon I invaded Portugal, he found himself faced there with liberal revolts; he was compelled to return to Europe amid new conflicts.
His marriage was no less conflictual, as his wife, Carlota Joaquina of Spain, repeatedly conspired against her husband in favor of personal interests or those of her native Spain.
He lost Brazil when his son Pedro declared independence, and his other son Miguel (later Miguel
I of Portugal) led a rebellion that sought to depose him.
According to recent scholarly research, his death may well have been caused by arsenic poisoning.
Notwithstanding these tribulations he left a lasting mark, especially in Brazil, where he helped to create numerous institutions and services that laid a foundation for national autonomy, and he is considered by many historians to be a true mastermind of the modern Brazilian state.
Still, he has been widely (if unjustly) viewed as a cartoonish figure in Portuguese-Brazilian history, accused of laziness, lack of political acumen and constant indecision, and is often portrayed as physically grotesque.
Maria Teresa, Princess of Beira
Infanta Maria Teresa of Braganza( or; 29 April 1793 – 17 January 1874) was the firstborn child of John VI of Portugal and Carlota Joaquina of Spain, and heir presumptive to the throne of Portugal between 1793 and 1795, until her short- lived brother António Pio was born.
Infanta Maria Francisca, Duchess of Coimbra
" Infanta Dona" Maria Francisca, Duchess of Coimbra( born 3 March 1997) is an Infanta of Portugal as a member of the Portuguese Royal Family.
The second child of Duarte Pio, Duke of Braganza, the current pretender to the defunct throne of Portugal, and Dª. Isabel de Castro Curvello de Herédia, Infanta Maria Francisca is third in the line of succession to the former Portuguese throne, after her two brothers, D. Afonso, Prince of Beira, and Infante D. Diniz, Duke of Porto.
Infante Henrique, Duke of Coimbra
D. Infante Henrique, Duke of Coimbra( 6 November 1949 – 14 February 2017) was an Infante of Portugal and a member of the former Portuguese Royal Family as the youngest son of Duarte Nuno, Duke of Braganza, and Princess Maria Francisca of Orléans- Braganza.
Infante Henrique was fifth in the line of succession to the former Portuguese throne at the time of his death.
His elder brother, Duarte Pio, Duke of Braganza, is head of the House of Braganza, which ruled Portugal until 1910.
Maria Francisca of Orléans-Braganza, Duchess of Braganza
" Dona" Maria Francisca of Orléans- Braganza, Duchess of Braganza( 8 September 1914 – 15 January 1968) was the wife of Duarte Nuno, Duke of Braganza, a pretender to the Portuguese throne, and the daughter of Pedro de Alcântara, Prince of Grão- Pará, pretender to the throne of the Empire of Brazil.
The Duke and Duchess had three sons, the eldest of whom, Duarte Pio, Duke of Braganza, is the current pretender to the throne of Portugal.
Isabel Luísa, Princess of Beira
Infanta Isabel Luísa of Portugal (6 January 1669 – 21 October 1690) was a Portuguese "infanta" and the sole daughter of Peter II of Portugal and his first wife and former sister-in-law Maria Francisca of Savoy.
She was the heir presumptive to the throne of Portugal between 1668 and 1689, when her half-brother John was born.
As such, she was styled Princess of Beira.
Manuel, Prince of Portugal (1531–1537)
Manuel, Prince of Portugal( 11 November 1531 – 14 April 1537), was the Prince of Portugal from 1535 to his death in 1537.
He was the fifth child son of king John III of Portugal and Catherine of Austria.
In 1535, his father officially designated him as Prince of Portugal, taking the place of his eldest sister Infanta Maria Manuela.
However, after his premature death at five years old, his younger brother Infante Filipe became the next Prince of Portugal.

Answer: Peter III of Portugal