Tjuyu
Tjuyu( sometimes transliterated as Thuya or Thuyu) was an Egyptian noblewoman and the mother of queen Tiye, and the wife of Yuya.
She is the grandmother of Akhenaten, and great grandmother of Tutankhamun.
Frederick III, Duke of Holstein-Gottorp
Frederick III of Holstein-Gottorp (22 December 1597 – 10 August 1659) was a Duke of Holstein-Gottorp.
He was the elder son of Duke Johann Adolf of Holstein-Gottorp and Princess Augusta of Denmark.
His mother was a daughter of King Frederick II of Denmark.
He had ambitious plans concerning the development of sea trade.
With this purpose he established Friedrichstadt in 1621, in sympathy with city of Glückstadt established in 1617 by Christian IV of Denmark.
Furthermore, he attempted to find a commercial way to Russia and Persia that would not pass around Africa.
For this reason he sent on 6 November 1633 the expedition from Hamburg to Moscow under the management of a commercial agent of Otto Brüggemann and a ducal adviser, Philipp Crusius, and with Adam Olearius as secretary.
On 14 August 1634 the delegation arrived at Moscow.
Although it was not successful in concluding a commercial agreement with Tsar Michael I of Russia, nevertheless, immediately after the return of the delegation to Gottorp on 6 April 1635, Frederick began the preparation of the following expedition.
In 1636, he sent his delegation to Persia, and in 1639 Safi of Persia sent a return delegation with presents for the Duke.
The difficult task of leading the country through the Thirty Years' War confronted Frederick.
He tried a policy of neutrality, which meant in practice the refusal of the union with Denmark and inclinations toward Sweden.
In 1654 he hosted the recently abdicated Christina, Queen of Sweden.
She wrote to her successor to recommend two of his daughters as potential brides.
Thus, he married his daughter Hedvig Eleonora to King Charles X of Sweden.
Since the Swedish attempt at being the "Great Power" ultimately failed, Frederick's pro-Swedish policy led to the weakening of the house of Holstein-Gottorp.
Frederick as the patron of art and culture was more successful.
Thus he founded on 3 September 1642 together with Prince Louis I of Anhalt-Köthen the Fruitbearing Society.
Furthermore, he contributed to the creation of the Globe of Gottorf.
The painter Jürgen Ovens worked more than 30 years for him and his successor Christian Albrecht of Holstein-Gottorp.
John Adolf, Duke of Holstein-Gottorp
Johann Adolf of Holstein- Gottorp( 27 February 1575 – 31 March 1616) was a Duke of Holstein- Gottorp.
Augusta Marie of Holstein-Gottorp
Augusta Marie of Holstein-Gottorp (1649–1728) was a German noblewoman.
She was the daughter of Frederick III, Duke of Holstein-Gottorp and Duchess Marie Elisabeth of Saxony.
Through her daughter Albertine Frederica, she is the great-grandmother of Catherine II and great-great-grandmother of Paul I of Russia.
She married Frederick VII, Margrave of Baden-Durlach on 15 May 1670 in Husum.
They had the following children:
Charles Frederick, Duke of Holstein-Gottorp
Duke Charles Frederick of Schleswig-Holstein- Gottorp( 30 April 1700 – 18 June 1739) was a Prince of Sweden and Duke of Schleswig- Holstein- Gottorp and an important member of European royalty.
His dynasty, the Dukes of Schleswig- Holstein- Gottorp, were a cadet branch of the ancient House of Oldenburg, which at that time was ruling Denmark.
His mother was a sister of Charles XII of Sweden.
Charles Frederick married a daughter of Peter the Great and became the father of the future Peter III of Russia.
As such, he is the progenitor of the Russian imperial house of Holstein- Gottorp- Romanov and the patrilineal ancestor of all Russian emperors starting with Peter III, except for Catherine II.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.
Kaoru Hatoyama
After the elections of 2009, she became more widely known as the grandmother of Prime Minister Yukio Hatoyama and his politician brother Kunio Hatoyama.
Hubba bint Hulail
Hubba bint Hulail was the grandmother of Hashim ibn' Abd Manaf, thus the great- great- great- grandmother of the Islamic" Nabī"( Prophet) Muhammad ibn Abdullah.
Anne Denman
Anne Denman( 1587–1661) was born in Olde Hall, Retford, Nottinghamshire.
Through a fortunate second marriage with Thomas Aylesbury, she became the grandmother of Lady Anne Hyde, Duchess of York and great- grandmother of Queen Mary II and Queen Anne.
Christian August of Holstein-Gottorp, Prince of Eutin
Christian August of Holstein-Gottorp-Eutin (11 January 1673 – 24 April 1726) was a cadet of the reigning ducal House of Holstein-Gottorp who became prince of Eutin, prince-bishop of Lübeck and regent of the Duchy of Holstein-Gottorp.
He was the father of Adolf Frederick, King of Sweden, and the maternal grandfather of Catherine the Great, Empress of Russia.

Question: Who is the paternal grandmother of Augusta Marie Of Holstein-Gottorp?
Answer: Augusta of Denmark