Marie Adélaïde of Savoy
Marie Adélaïde of Savoy, Princess of Savoy( 6 December 1685 – 12 February 1712) was the wife of Louis, Dauphin of France, Duke of Burgundy.
She was the eldest daughter of Duke Victor Amadeus II of Savoy and of Anne Marie d'Orléans.
Her betrothal to the Duke of Burgundy in June 1696 was part of the Treaty of Turin, signed on 29 August 1696.
She was the mother of the future King Louis XV of France.
Styled as Duchess of Burgundy after her marriage, she became Dauphine of France upon the death of her father- in- law, Le Grand Dauphin, in 1711.
She died of measles in 1712, followed by her husband a week later.
Louis, Duke of Burgundy
Louis, Duke of Burgundy and later Dauphin of France (16 August 1682 – 18 February 1712) was the eldest son of Louis, Grand Dauphin, and father of Louis XV, and briefly heir-apparent to the throne from his father's death in April 1711 to his own death 10 months later.
Until he became the official Dauphin of France upon his father's death in 1711, he was known as Le Petit Dauphin to distinguish him from his father, who was known as "le Grand Dauphin".
Marie Émilie de Joly de Choin
Marie Émilie Thérèse de Joly, "Mademoiselle de Choin" (2 August 1670 – 1732) was a French lady-in-waiting, the lover and later the morganatic spouse of Louis, Dauphin of France.
As a morganatic spouse, she was not styled Dauphine of France.
Louis, Grand Dauphin
Louis of France (1 November 1661 – 14 April 1711) was the eldest son and heir of Louis XIV, King of France, and his spouse, Maria Theresa of Spain.
As the heir apparent to the French throne, he was styled Dauphin.
He became known as Le Grand Dauphin after the birth of his own son, "Le Petit Dauphin".
As he died before his father, he never became king.
His grandson became Louis XV of France.
Philippe Charles, Duke of Anjou
Philippe- Charles of France, Duke of Anjou( 5 August 1668 – 10 July 1671) was the fifth child and second son of Louis XIV, King of France and his wife, the Infanta Maria Teresa of Spain, and as such was a" Fils de France".
Maria Teresa Rafaela of Spain
Maria Teresa Rafaela of Spain
( María Teresa Antonia Rafaela; 11 June 1726 – 22 July 1746) was an" Infanta of Spain" by birth and Dauphine of France by marriage to Louis, Dauphin of France, son of Louis XV of France.
She died aged 20, three days after giving birth to a daughter who died in 1748.
Louis, Dauphin of France (son of Louis XV)
Louis, Dauphin of France( 4 September 1729 – 20 December 1765) was the elder and only surviving son of King Louis XV of France and his wife, Queen Marie Leszczyńska.
He had a younger brother, Philippe, who died as a toddler.
As a son of the king, Louis was a" fils de France".
As heir apparent, he became Dauphin of France.
However, he died before ascending to the throne.
Three of his sons became kings of France: Louis XVI( reign: 1774–1792), Louis XVIII( reign: 1814–1815; 1815–1824) and Charles X( reign: 1824–1830).
Joan III, Countess of Burgundy
Joan III of Burgundy( 1/2 May 1308 – 10/15 August 1347), also known as Joan of France was a reigning Countess of Burgundy and Artois in 1330 – 1349, She was also Duchess of Burgundy by marriage to Odo IV, Duke of Burgundy.
She was the eldest daughter of King Philip V of France and Countess Joan II of Burgundy.
Sibylla of Burgundy, Duchess of Burgundy
Sybilla of Burgundy( 1065 – 1103), was a French noble, Duchess consort of Burgundy by marriage to Eudes I, Duke of Burgundy.
She was a daughter of William I, Count of Burgundy and Stephanie.
She was married to Eudes I, Duke of Burgundy in 1080.
Children:
Philippe, Duke of Anjou
Philippe of France, Duke of Anjou( 30 August 1730 – 7 April 1733) was a French prince and the second son of king Louis XV of France and Marie Leszczyńska.
He was styled Duke of Anjou from birth.

Question: Who is the paternal grandmother of Louis, Duke Of Burgundy?
Answer: Maria Theresa of Spain