Question: What countries did Princess Christina Margarethe of Hesse and Prince Christoph of Hesse family rule over?

Context paragraphs:
Alexander Frederick, Landgrave of Hesse: Alexander Frederick, Landgrave of Hesse (German: "Alexander Friedrich Wilhelm Albrecht Georg Landgraf von Hessen" 25 January 1863, Copenhagen – 26 March 1945) was a Hesse-Kassel and Prussian Prince.  He was the son of Prince Frederick William of Hesse-Kassel and Princess Anna of Prussia.  From 1888–1925 he was Head of the House of Hesse, but abdicated his position to his brother Prince Frederick Charles of Hesse.  He was visually handicapped from birth, and this, in addition to his morganatic marriage, played a part in his decision to abdicate.

Prince Christoph of Hesse: Christoph Ernst August of Hesse (Frankfurt, 14 May 1901 – Apennine Mountains near Forlì, 7 October 1943) was the fifth son of Prince Frederick Charles of Hesse and Princess Margaret of Prussia.  He was a German SS officer killed accidentally during World War II.

Princess Irene of Hesse and by Rhine: Princess Irene of Hesse and by Rhine ("Irene Luise Marie Anne, Princess of Hesse and by Rhine", 11 July 1866 – 11 November 1953) was the third child and third daughter of Princess Alice of the United Kingdom and Louis IV, Grand Duke of Hesse and by Rhine.  Her maternal grandparents were Queen Victoria and Prince Albert of Saxe-Coburg and Gotha.  Her paternal grandparents were Prince Charles of Hesse and by Rhine and Princess Elizabeth of Prussia.  She was the wife of Prince Henry of Prussia, a younger brother of Wilhelm II, German Emperor and her first cousin.  The SS "Prinzessin Irene", a liner of the North German Lloyd was named after her.

Donatus, Landgrave of Hesse: Donatus, Prince and Landgrave of Hesse ("Heinrich Donatus Philipp Umberto"; born 17 October 1966) is the eldest son and successor of German aristocrat Moritz, Landgrave of Hesse, and his former wife, Princess Tatiana of Sayn-Wittgenstein-Berleburg.  A great-grandson of Victor Emmanuel III of Italy, he is named in part after Georg Donatus, Hereditary Grand Duke of Hesse.  He is also a great-great-great grandson of Queen Victoria of the United Kingdom, through his paternal grandfather Philipp's mother Margaret, a granddaughter of Queen Victoria.  His father Moritz was a third cousin of Queen Elizabeth II of the United Kingdom.

Prince Friedrich of Hesse and by Rhine: Prince Friedrich of Hesse and by Rhine (Friedrich Wilhelm August Victor Leopold Ludwig; 7 October 1870 – 29 May 1873) was the haemophiliac second son of Louis IV, Grand Duke of Hesse, and Princess Alice of the United Kingdom, one of the daughters of Queen Victoria.  He was also a maternal great-uncle of Prince Philip, Duke of Edinburgh through his eldest sister Princess Victoria of Hesse and by Rhine.

Princess Christina Margarethe of Hesse: Princess Christina Margarethe of Hesse (German: "Prinzessin Christina Margarethe von Hessen" ; 10 January 1933 – 22 November 2011) was the eldest daughter of Prince Christoph of Hesse and Princess Sophie of Greece and Denmark.  From 1956 to 1962, she was married to Prince Andrew of Yugoslavia, with whom she had two children.  Her second marriage to Robert Floris van Eyck, a Dutch artist based in London, lasted from 1962 to 1986.

Mafalda von Hessen: Mafalda Margarethe Prinzessin von Hessen (born 6 July 1965), known also as Princess Mafalda of Hesse, is a German aristocrat and fashion designer.  She is the eldest child of Moritz, Landgrave of Hesse and Princess Tatiana of Sayn-Wittgenstein-Berleburg.

Line of succession to the former Hessian throne: The Electorate of Hesse was abolished in 1866 when it was annexed by the Kingdom of Prussia, while the Grand Duchy of Hesse and by Rhine came to an end in 1918.  Like most former German realms of the Holy Roman Empire the succession in Hessian lands was semi-Salic, with the nearest female kinswoman of the last male inheriting the crown upon extinction of the dynasty in the male line.  The current pretender to both Hessian thrones is Donatus, Landgrave of Hesse, from the electoral line of the family, which inherited its claim to the grand duchy following the death of Prince Louis of Hesse and by Rhine in 1968.  Donatus became head of the House of Hesse on the death of his father, Prince Moritz, in 2013.  Landgrave Donatus is the titular Grand Duke and Elector of Hesse.

Battenberg family: The Battenberg family was formally a morganatic branch of the House of Hesse-Darmstadt, rulers of the Grand Duchy of Hesse in Germany.  The first member was Julia Hauke, whose brother-in-law Grand Duke Louis III of Hesse created her "Countess of Battenberg" with the style "Illustrious Highness" (H. Ill.H.) in 1851, at her morganatic marriage to Grand Duke Louis' brother Prince Alexander of Hesse and by Rhine, and elevated her title to "Princess of Battenberg" with the style "Serene Highness" (HSH) in 1858.  The name "Battenberg" was last used by her youngest son, Prince Francis Joseph of Battenberg, who died childless in 1924.  Most members of the family, residing in the United Kingdom, had renounced their German titles in 1917, due to rising anti-German sentiment among the British public during World War I, and changed their name to "Mountbatten", an anglicised version of Battenberg.  The name Battenberg refers to the town Battenberg, Hesse.

Margarita of Diez: Margarita of Diez (German - "Margarethe von Diez"; 14 October 1544 - 12 July 1608) was a German noblewoman.  Born in Spangenberg, she was the fourth child and eldest daughter of Philip I, Landgrave of Hesse and his second morganatic wife Margarethe von der Saale, whom he had married whilst still married to his first wife Christine of Saxony, with whom he had already had five sons and five daughters.

Supporting paragraphs: Princess Christina Margarethe of Hesse Prince Christoph of Hesse
Answer: Greece and Denmark