Francisco Fernández de la Cueva, 10th Duke of Alburquerque
Francisco V Fernández de la Cueva y Fernández de la Cueva,( Genoa, Italy, 17 November 1666 – Madrid, Spain, 28 June 1724) was the 10th Duke of Alburquerque, a Grandee of Spain, a Knight of the Order of the Golden Fleece since 1707, and Viceroy of New Spain from 27 November 1702 to 14 January 1711.
His tenure as Viceroy of New Spain is commemorated in the namesake of Albuquerque, New Mexico.
He was the nephew of Francisco IV Fernández de la Cueva – Colonna,(* Barcelona, 1618/ 1619 – † Madrid( Palacio Real) 27 March 1676), 8th Duque de Alburquerque and many other lesser titles, also a Viceroy of New Spain,( 1653 – 1660), and Viceroy of Sicily,( 1667 – 1670), and the son of the 9th Duke of Albuquerque, and many other lesser titles, the cadet brother of the 8th Duke, and inheritor of the titles, Melchor Fernández de la Cueva(* Madrid, 2 March 1625 – † Madrid 12 October 1686).
His father, Melchor, the 9th Duke, had married in 1665 his niece Ana Rosolea Fernández de la Cueva, the 3rd Marchioness of Cadreita, Navarre, daughter of the 8th Duke of Albuquerque Francisco IV Fernández de la Cueva and Juana Francisca Díez de Aux y Armendáriz, herself daughter of Lope Díez de Armendáriz, Viceroy of Mexico( 1635 – 1640).
This Spanish – Equatorian, Francisco Fernández de La Cueva y Fernandez de la Cueva, 10th Duke, was thus family connected through paternal and maternal links with 2 former Viceroys of New Spain, Viceroys of México, his uncle Francisco IV, the 8th Duke of Albuquerque and Lope Díez de Armendáriz.
He was captain general of the Kingdom of Granada and captain general of the coast of Andalusia.
Pedro Manuel Colón de Portugal
Pedro Manuel Colón de Portugal y de la Cueva, 7th Duke of Veragua,( 25 December 1651 – 9 September 1710) was a Spanish noble.
He was a Knight of the Order of the Golden Fleece since 1675, Viceroy of Valencia, 1679 – 1680, Viceroy of Sicily, 1696 – 1701, and Viceroy of Sardinia, 1706 – 1708.
He was born in Madrid, the eldest son of Pedro Nuño Colón de Portugal, 6th Duke of Veragua and his first wife, Isabel Fernández de la Cueva y Enríquez de Cabrera, daughter of Francisco Fernández de la Cueva, 7th Duke of Alburquerque.
Pedro Manuel married Teresa Marina de Ayala, 4th Marchioness de la Mota, in Madrid on 30 August 1674.
Their eldest son was Pedro Manuel Nuño Colón de Portugal y Ayala.
After his death in 1733, his sister Catalina Ventura, deceased 1739, became 9th Duchess of Veragua; but because she had married on 31 December 1716 Madrid James Francis FitzJames Stuart y Burgh, their children inherited Spanish and a few British titles.
Beltrán de la Cueva, 3rd Duke of Alburquerque
Beltrán de la Cueva y Toledo, 3rd Duke of Alburquerque, (in full), (c. 1478 - 11 February 1560) was a Spanish nobleman and military leader.
He was born in Cuéllar, the son of Don Francisco Fernández de la Cueva, 2nd Duke of Alburquerque and of Francisca de Toledo, daughter of García Álvarez de Toledo, 1st Duke of Alba.
Beltrán de la Cueva was appointed captain general of the Spanish Army, and commander-in-chief of the English Army in France (under queen Mary I of England).
He was named a Knight of the Order of the Golden Fleece in 1531, a Viceroy of Aragon in 1535, and a Viceroy of Navarre in 1552, position he held until his death in 1560.
Baltasar de la Cueva, Count of Castellar
Don Baltasar de la Cueva y Enríquez de Cabrera," iure uxoris" Count of Castellar and Marquis of Malagón( sometimes" Baltasar de la Cueva Enríquez de Cabrera y Arias de Saavedra")( 1626 in Madrid – April 2, 1686) was viceroy of Peru from August 15, 1674 to July 7, 1678.
He was a younger son of the 7th Duke of Alburquerque, and brother of Francisco Fernández de la Cueva, 8th Duke of Alburquerque, who served as Viceroy of New Spain.
He married Teresa María Arias de Saavedra, 7th Countess of Castellar.
Juan Téllez-Girón, 4th Count of Ureña
Juan Téllez- Girón," the saint", 4th Count of Ureña( in full)( 25 April 1494 – 19 May 1558) was a Spanish nobleman.
Juan Téllez- Girón was born in Osuna, the third son of Juan Téllez- Girón, 2nd Count of Ureña and of Leonor de la Vega Velasco, daughter of Pedro Fernández de Velasco, 2nd Count of Haro.
He succeeded to the titles of his older brother in 1531.
He married María de la Cueva y Toledo, daughter of Francisco Fernández de la Cueva, 2nd Duke of Alburquerque and they had 6 children.
In 1549, he founded a College and University in Osuna.
He was nicknamed" the saint" because he also created a Franciscan and a Dominican monasteries in his Osuna domains.
Francisco Fernández de la Cueva, 8th Duke of Alburquerque
Francisco Fernández de la Cueva y Enriquez de Cabrera, 8th Duke of Alburquerque, 6th Marquess of Cuéllar, 8th Count of Ledesma, GE, KOS (1619 – March 27, 1676) was a Spanish military officer and viceroy of New Spain from August 15, 1653 to September 15, 1660.
He was also viceroy of Sicily from 1668 to 1670.
Francisco Fernández de la Cueva, 7th Duke of Alburquerque
Francisco Fernández de la Cueva y de la Cueva, 7th Duke of Alburquerque( in full)( Cuéllar, 1575 – Madrid, 18 July 1637) was a Spanish nobleman, military and politician.
He was the son of Don Beltrán III de la Cueva y Castilla, 6th Duke of Alburquerque and Isabel de la Cueva y Córdoba.
In 1617, he was appointed Viceroy of Catalonia, a function in which he became known as" one of the toughest, most rigorous, and successful of the viceroys of Catalonia ... and had specialized in the suppression of disorder."
To suppress" banditism", he did n't hesitate to clash with the local authority, the Principality of Catalonia, and to restrict the Catalan constitution.
Between 1627 and 1632, he was Viceroy of Sicily, where he had 2 bronze statues erected of Kings Charles I and Philip IV.
He was also a member of the Spanish Council of State and the War Council under King Philip IV.
He served as Ambassador to the Holy See and finally was President of the Council of Italy and Council of Aragon.
Francisco Fernández de la Cueva, 2nd Duke of Alburquerque
Francisco Fernández de la Cueva, 2nd Duke of Alburquerque( in full)( 25 August 1467 – 4 June 1526) was a Spanish nobleman.
He was the son of Don Beltrán de la Cueva, 1st Duke of Alburquerque, by first wife Doña Mencía Hurtado de Mendoza y Luna.
He served the Catholic Monarchs Isabella I of Castile and Ferdinand V of Castile in the Wars of Granada along with his father.
He was the 644th Knight of the Order of the Golden Fleece.
He married before January 1485 Dona Francisca Alvarez de Toledo, daughter of García Álvarez de Toledo, 1st Duke of Alba and sister of his first stepmother, and among two other sons and two other daughters he had the oldest daughter Dona Mencía de la Cueva y Alvarez de Toledo, who married as his second wife Don Pedro Fajardo y Chacón Manrique de Lara, 1st Marquess of los Vélez.
He was the paternal grandfather of the 1st Marquess of Cuéllar in 1562, Don Francisco de la Cueva y Téllez- Girón, Alvarez de Toledo y de la Vega.
Charles Lennox, 4th Duke of Richmond
Charles Lennox, 4th Duke of Richmond, 4th Duke of Lennox, 4th Duke of Aubigny,( 9 December 176428 August 1819) was a Scottish peer, soldier, politician, and Governor General of British North America.
Francisco Fernández de la Cueva, 4th Duke of Alburquerque
Francisco Fernández de la Cueva y Girón, 4th Duke of Alburquerque (in full)
(c. 1510 – 1563) was a Spanish nobleman.
He was the son of Don Beltrán de la Cueva, 3rd Duke of Alburquerque and of Doña Isabel Girón.
He fought in Africa and participated in the siege at La Goletta and the Conquest of Tunis in 1535.
He married Doña Constanza de Leiva, daughter of the principe di Ascoli, and later (1549)
Doña María Fernández de
la Córdoba, daughter of Luis Fernández de Córdoba, 2nd Marquis of Comares.

Question: Who is Francisco Fernández De La Cueva, 4Th Duke Of Alburquerque's paternal grandfather?
Answer: Francisco Fernández de la Cueva, 2nd Duke of Alburquerque