Louisa Montagu Douglas Scott, Duchess of Buccleuch
Louisa Jane Montagu Douglas Scott, Duchess of Buccleuch and Queensberry( 26 August 1836 – 16 March 1912) was the daughter of James Hamilton, 1st Duke of Abercorn.
In 1884, she became the Duchess of Buccleuch and Duchess of Queensberry, the wife of William Henry Walter Montagu Douglas Scott, 6th Duke of Buccleuch& 8th Duke of Queensberry.
She was the paternal grandmother of Princess Alice, Duchess of Gloucester and of Marian Louisa, Lady Elmhirst, as well as the maternal great- grandmother of Prince William of Gloucester, Prince Richard, Duke of Gloucester and great- great- grandmother of Sarah, Duchess of York.
Princess Madeleine, Duchess of Hälsingland and Gästrikland
Princess Madeleine of Sweden, Duchess of Hälsingland and Gästrikland
(Madeleine Thérèse Amelie Josephine; born 10 June 1982), is the second daughter and youngest child of King Carl XVI Gustaf and Queen Silvia.
Upon her birth, she was third in line of succession to the Swedish throne.
She is currently seventh in the line of succession.
Princess Madeleine is married to British-American financier Christopher O'Neill.
They have three children, Princess Leonore, Prince Nicolas and Princess Adrienne.
Princess Leonore, Duchess of Gotland
Princess Leonore of Sweden, Duchess of Gotland( Leonore Lilian Maria Bernadotte; born 20 February 2014), is the eldest child and elder daughter of Princess Madeleine and Christopher O'Neill.
She is eighth in the line of succession to the Swedish throne.
At the time of her birth she was fifth in line.
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.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.
Christopher O'Neill
Christopher Paul O'Neill, KNO( born 27 June 1974) is a British- American financier and husband of Princess Madeleine, Duchess of Hälsingland and Gästrikland, a daughter of King Carl XVI Gustaf of Sweden.
Carl XVI Gustaf of Sweden
Carl XVI Gustaf (Carl Gustaf Folke Hubertus; born 30 April 1946) is King of Sweden.
He ascended the throne on the death of his grandfather, King Gustaf VI Adolf, on 15 September 1973.
He is the youngest child and only son of Prince Gustaf Adolf, Duke of Västerbotten, and Princess Sibylla of Saxe-Coburg and Gotha.
His father died on 26 January 1947 in an airplane crash in Denmark when Carl Gustaf was nine months old.
Upon his father's death, he became second in line to the throne, after his grandfather, the then Crown Prince Gustaf Adolf.
Following the death of his great-grandfather King Gustaf V in 1950, Gustaf Adolf ascended the throne and thus Carl Gustaf became Sweden's new crown prince and heir apparent to the throne at the age of four.
A short while after he became king in 1973, the new 1974 Instrument of Government took effect, formally stripping Carl XVI Gustaf of any role in the legislative process, and several other duties normally accorded to a head of state, such as the formal appointment of the prime minister, signing off legislation, and being commander-in-chief of the nation's military.
The new instrument explicitly limits the king to ceremonial functions and, among other things, to be regularly informed of affairs of state.
As head of the House of Bernadotte Carl Gustaf has also been able to make a number of government-supported decisions about the titles and positions of its members.
The king's heir apparent, after passage on 1 January 1980 of a new law establishing absolute primogeniture (the first such law passed in European history), is Crown Princess Victoria, the eldest child of the King and his wife, Queen Silvia.
Before the passage of that law, Crown Princess Victoria's younger brother, Prince Carl Philip, was briefly the heir apparent, as of his birth in May 1979.
Carl XVI Gustaf is the longest-reigning monarch in Swedish history, having surpassed King Magnus IV's reign of 44 years and 222 days on 26 April 2018.
Princess Adrienne, Duchess of Blekinge
Princess Adrienne of Sweden, Duchess of Blekinge( Adrienne Josephine Alice Bernadotte; born 9 March 2018) is the third child and second daughter of Princess Madeleine and Christopher O'Neill.
She is a granddaughter of King Carl XVI Gustaf and Queen Silvia.
She is tenth in the line of succession to the Swedish throne.
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.
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.

Question: Who is Princess Madeleine, Duchess Of Hälsingland And Gästrikland's paternal grandmother?