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.
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.
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.
Princess Frederica Amalia of Denmark
Princess Frederica Amalia of Denmark and Norway (11 April 1649 – 30 October 1704) was the second daughter of King Frederick III of Denmark and Sophie Amalie of Brunswick-Lüneburg, and Duchess of Holstein-Gottorp from 1667 to 1695 as the consort of Duke Christian Albert.
Princess Caroline-Mathilde of Denmark
Princess Caroline- Mathilde of Denmark( 27 April 1912 – 12 December 1995) was a daughter of Prince Harald of Denmark and granddaughter of King Frederick VIII of Denmark.
As the wife of Knud, Hereditary Prince of Denmark, she became Hereditary Princess of Denmark.
Mona Hopton Bell
Mona Hopton Bell( 1867- 1940) was a British artist, best known for her portraits of civic figures.
She was the grandmother of the painter Jean H. Bell.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.
Princess Agnes of Anhalt-Dessau
Princess Agnes of Anhalt- Dessau( Frederica Amalia Agnes; 24 June 1824 – 23 October 1897) was the eldest daughter of Leopold IV, Duke of Anhalt by his wife Princess Frederica of Prussia.
She was a member of the House of Ascania, and by her marriage to Ernst I, Duke of Saxe- Altenburg, Duchess consort of Saxe- Altenburg.
Frederick III of Denmark
Frederick III (18 March 1609 – 9 February 1670) was king of Denmark and Norway from 1648 until his death in 1670.
He also governed under the name Frederick II as diocesan administrator (colloquially referred to as prince-bishop) of the Prince-Bishopric of Verden (1623–29 and again 1634–44), and the Prince-Archbishopric of Bremen (1635–45).
He instituted absolute monarchy in Denmark-Norway in 1660, confirmed by law in 1665 as the first in Western historiography.
He also ordered the creation of the Throne Chair of Denmark.
He was born the second-eldest son of Christian IV and Anne Catherine of Brandenburg.
Frederick was only considered an heir to the throne after the death of his older brother Prince Christian in 1647.
In order to be elected king after the death of his father, Frederick conceded significant influence to the nobility.
As king, he fought two wars against Sweden.
He was defeated in the Dano-Swedish War of 1657–1658, but attained great popularity when he weathered the 1659 Assault on Copenhagen and won the Dano-Swedish War of 1658–1660.
Later that year, Frederick used his popularity to disband the elective monarchy in favour of absolute monarchy, which lasted until 1848 in Denmark.
He married Sophie Amalie of Brunswick-Lüneburg, with whom he fathered Christian V of Denmark.

Question: Who is Princess Frederica Amalia Of Denmark's paternal grandmother?
Answer: Anne Catherine of Brandenburg