Mieszko II Lambert
Mieszko II Lambert (c. 990 – 10/11 May 1034) was King of Poland from 1025–1031, and Duke from 1032 until his death.
He was the second son of Bolesław
I the Brave but the eldest born from his third wife Emnilda of Lusatia.
He was probably named after his paternal grandfather, Mieszko I.
His second name, Lambert, sometimes erroneously considered to be a nickname, was given to him as a reference to Saint Lambert.
Also, it is probable that this name Lambert was chosen after Bolesław's half-brother Lambert.
It is thought that the choice of this name for his son was an expression of warming relations between Bolesław I and his stepmother Oda.
He organized two devastating invasions to Saxony in 1028 and 1030.
Then Mieszko II ran a defensive war against Germany, Bohemia and the Kievan princes.
Mieszko II was forced to escape from the country in 1031 after an attack of Yaroslav I the Wise, who installed Mieszko's older half-brother Bezprym onto the Polish throne.
Mieszko took refuge in Bohemia, where he was imprisoned by the Duke Oldrich.
In 1032 he regained power in one of the three districts, then united the country, making good use of the remaining power structures.
At this time, several Polish territorial acquisitions of his father were lost: Upper Lusatia (also known as "Milsko"), part of Lower Lusatia, Red Ruthenia, western and central part of Upper Hungary (now Slovakia) and probably Moravia.
Mieszko II was very well educated for the period.
He was able to read and write, and knew both Greek and Latin.
He is unjustly known as Mieszko II "Gnuśny" (the "Lazy,Stagnant" or "Slothful").
He received that epithet due to the unfortunate way his reign ended; but at the beginning he acted as a skillful and talented ruler.
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.
Gertrude of Poland
Gertrude-Olisava (c. 1025 – 4 January 1108), princess of Poland, was the daughter of King Mieszko II of Poland and Queen Richeza of Lotharingia, and the great-granddaughter of German Emperor Otto II.
In 1043, Gertrude married Iziaslav I of Kiev, with whom she had two sons: Yaropolk Iziaslavich and Mstislav, and a daughter, Eupraxia, who later married Mieszko Bolesławowic of Piast dynasty, the Prince of Kraków.
Often acknowledged as her son, Sviatopolk II of Kiev may have been the son of Izyaslav by a concubine.
Gertrude inherited a medieval illuminated manuscript, known as the "Egbert Psalter" or "Trier Psalter", which had been created in the late 10th century for archbishop Egbert of Trier.
She included her prayer book as part of the codex.
In the prayer book she prays six times for Yaropolk, "unicus filius meus" (translated as either "my favourite son" or "my only son").
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.
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.
Jadwiga Snopkowska
Jadwiga Snopkowska( c. 1558–1606) was the first wife of Marek Sobieski, the mother of Jakub Sobieski and the grandmother of King John III Sobieski of Poland.
Hedwig of Formbach
Hedwig of Formbach( c.1058 – c.1090), was the daughter of Frederick, count of Formbach and of Gertrude of Haldensleben, and heiress to Süpplingenburg Castle.
She was the mother of Emperor Lothair II.
Diana Guardato
Diana Guardato was a member of the aristocratic Patrician Guardato family, and had three children with King Ferdinand I: Diana Guardato is the 16th- Great Grandmother of His Royal Highness Albert II of Belgium, 15th- Great Grandmother of His Majesty Juan Carlos
I of Spain, 17th- Great Grandmother of Philippe of Belgium, 14th- Great Grandmother of His Majesty Manuel II of Portugal, 16th- Great Grandmother of Grand Duke Henri, as well as many others.
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.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.

Question: Who is the paternal grandmother of Gertrude Of Poland?
Answer: Emnilda of Lusatia