Question: Who is Claude De La Trémoille's paternal grandfather?

Georges de La Trémoille
Georges de la Trémoille( c. 1382 – 6 May 1446) was Count de Guînes from 1398 to 1446 and Grand Chamberlain of France to King Charles VII of France.
He sought reconciliation between Philip, Duke of Burgundy and Charles VII during their estrangement in the latter part of the Hundred Years' War.
De la Trémoille was a political opponent of Arthur de Richemont within the French court.
Most historians take a poor view of his career, assessing that he placed personal advancement before the public interest, though the traditional historical interpretation of the Grand Chamberlain as Jeanne d' Arc's opponent has been revised.
La Trémoille was captured at Agincourt in 1415.
He regained his freedom shortly afterward and dedicated the rest of his career to court life and diplomacy.
He made an advantageous marriage to Joan II of Auvergne( 1378 – 1424), Countess of Auvergne and Boulogne( 1404 – 1424).
De la Trémoille served the Burgundian court for several years, then joined the Armagnac court of Charles VII.
La Trémoille became a royal favourite in 1427.
He gained the title of Grand Chamberlain and was instrumental in Constable de Richemont's expulsion from the court that same year.
Following Joan of Arc's successful campaign to Rheims for the coronation of Charles VII, la Trémoille delayed a march on Paris with fruitless peace negotiations.
He may have been responsible for the lack of royal support that doomed her military actions thereafter.
The historical consensus is that personal jealousies led him to undermine France's two best military commanders during a low point in the war.
In September 1432 he paid for Rodrigo de Villandrando and his routiers to hold Les Ponts- de- Cé against the assaults of Jean de Bueil.
That year de Richemont returned to court and imprisoned la Trémoille the following year.
Charles VII did not intervene.
His daughter Louise de la Trémoille( 1432 – 10 April 1474), Dame de Boussac, married Bertrand VI of Auvergne and had two children:
He also had descents by his two mistresses; by Marie Guypaude, a daughter Marguerite( x and a son Jean the" bastard of La Tremoïlle",( legitimated and ennobled in 1445), a large number of descendants); and by Marie La Championne, Jacques, the other" bastard of La Tremoïlle", legitimized in 1466.
Claude de La Trémoille
Claude de La Trémoille, 2nd Duke of Thouars (1566 – 25 October 1604) was a sixteenth-century French nobleman of the La Tremoille family.
He was the son of Louis III de La Trémoille and his wife, Jeanne de Montmorency.
King Henry IV of France had been friendly with La Trémoille when he was King of Navarre, but kept him in a subordinate position once he became King of France, preferring La Trémoille's cousin, Henry de La Tour d'Auvergne, the Viscount of Turenne.
In 1587, La Trémoille converted to Protestantism.
He fought for Henry IV at the battle of Coutras and also at Ivry, and was rewarded by elevation to the peerage, as Duke of Thouars, in 1595.
This new title, however, made La Trémoille lose more money than it earned him.
In 1598, Turenne proposed to his sister-in-law Charlotte-Brabantine to marry La Trémoille.
Thanks to her relations with the houses of Orange and Bouillon, Charlotte-Brabantine played an important part in the French Protestant diplomacy.
They had four children: Henry; Charlotte, who married James Stanley, Earl of Derby; Élisabeth (1601–1604); and Frédéric (1602–1642) comte de Laval.
In 1602, Charlotte-Brabantine dissuaded her husband from engaging in the conspiracy of Biron and encouraged him to lend allegiance to the king.
He died in 1604.
François II de La Trémoille
François de La Trémoille( 1505 – 1541) was a French nobleman of the La Tremoille family.
He was the son of Charles I de la Trémoille( killed in 1515 at the battle of Marignano) and of Louise de Coëtivy.
Jean Bretagne Charles de La Trémoille
Prince Jean- Bretagne- Charles de La Trémoille( 5 February 1737 – 19 May 1792), 7th Duke of Thouars, was a French soldier and the son of Charles Armand René de La Trémoille and his wife, Marie Hortense de La Tour d'Auvergne of Bouillon.
Marie Charlotte de La Trémoille
Marie Charlotte de La Trémoille( 26 January 1632 – 24 August 1682). was a French noblewoman member of the House of La Trémoille and by marriage Duchess of Saxe- Jena.
Born in Thouars, she was the fifth of six children born from the marriage of Henri III de La Trémoille, 3rd Duke of Thouars, 2nd Duke of La Tremoille, Prince of Talmond and Taranto, and Marie de La Tour d'Auvergne.
Henri de La Trémoille
Henri de La Trémoille( 22 December 1598 – 21 January 1674) was the 3rd Duke of Thouars, 2nd Duke of La Tremoille, and Prince of Talmond and Taranto.
He was the son of Claude de La Trémoille and his wife, Charlotte Brabantina of Nassau, and a descendant of the medieval general Louis de La Trémoille.
Claude de Beauharnais (1717–1784)
Claude de Beauharnais( 1717–1784) was a French nobleman.
He was the second son of Claude de Beauharnais( 1680 – 1738).
Henri Charles de La Trémoille
Henri Charles de La Trémoille( 17 December 1620 – 14 September 1672) was a French military commander.
He the son of Henry de La Trémoille, duc of Thouars and of La Trémoille, and his wife, Marie de La Tour d'Auvergne.
In 1628, La Trémoille's father, Henri III of Trémoïlle, converted himself and his children to Catholicism, but La Trémoille's mother convinced him to reconvert to Protestantism when he reached the age of majority.
In 1638, he joined the army of his uncle, Frederick Henry, Prince of Orange.
In 1648, he married the Calvinist Émilie of Hesse- Kassel, the daughter of William V of Hesse- Kassel( or Hesse- Cassel).
They had five children, including Charles Belgique, his heir, and Charlotte Amélie de la Trémoille.
In October 1651, during the Fronde, he came out against Cardinal Mazarin and supported Condé openly.
As a result, in 1656 he was imprisoned in Amiens.
La Trémoille's mother obtained his release after several months of imprisonment.
He was then relegated in Poitou then turned over to serve in Holland.
In 1668, he returned from Holland to manage the affairs of the duchy of Thouars, his father being weakened by the gout, and he again re-converted to Catholicism, taking away the children from his wife who fled to the Netherlands.
He died two years before his father in 1672; it was thus his elder son, Charles, who succeeded as the fourth duke of Thouars.
Louis III de La Trémoille
Louis III de La Trémoille (1521 – 25 March 1577), 1st Duke of Thouars, was a sixteenth-century French nobleman of the La Tremoille family.
He was the son of François II de La Trémoille and his wife, Anne de Laval.
Louis accompanied the dauphin on a voyage to Perpignan in 1542, served in the war against the English in Picardy and was one of the four barons given as a hostage of the Holy Ampoule at the consecration of Henry II, and one of the hostages of the peace treaty concluded in 1542 between France and England.
In 1549, he married Jeanne de Montmorency (1528–1596), the second daughter of Anne de Montmorency.
They had five children, including:
Louis served in Italy under Marshal de Cossé.
In 1560, he was a lieutenant general of Poitou and of Saintonge.
He was charged, in 1567, with the command of the Loire Valley, served under the Duke of Anjou and was killed at the siege of Melle on 25 March 1577, at the moment when the city fell.
Charles Armand René de La Trémoille
Charles Armand René de La Trémoille (14 January 1708, in Paris – 23 May 1741),
6th duc de Thouars, was the son of Charles Louis Bretagne de La Trémoille and his wife, Marie Madeleine Motier de la Fayette.
La Trémoille was a French soldier and president of the States of Brittany.
He joined the military at a young age and became a colonel of the Champagne regiment at the age of eighteen.
Later, he became governor of Île-de-France.
He distinguished himself in the battle of Guastalla, in Italy, and was named shortly thereafter sergeant of the armies of the king.
La Trémoille was the author of some works and was elected a member of the Académie française on 13 February 1738.
On 29 January 1725 he married his cousin Marie Hortense de La Tour d'Auvergne, the daughter of Marie Armande Victoire de la Trémoïlle (1677–1717) and Emmanuel-Théodose de La Tour d'Auvergne, duc de Bouillon (1668–1730).
Marie Hortense, like her husband was a granddaughter of Charles Belgique Hollande de La Trémoille.
From this union was born a son:
Jean Bretagne Charles de La Trémoille and a daughter who died in infancy.

Answer: François II de La Trémoille