Beatrice I, Abbess of Quedlinburg
Beatrice I, also known as Beatrice of Franconia( 1037 – 13 July 1061), was Abbess of Gandersheim Abbey from 1043 and Princess- Abbess of Quedlinburg Abbey from 1044 until her death.
Beatrix was born in Italy towards the end of 1037 as the only child of the Holy Roman Emperor Henry III and his first wife, Gunhilda of Denmark, who died about six months after Beatrice's birth.
Matilda, Abbess of Quedlinburg
Matilda( December 955 – 999), also known as Mathilda and Mathilde, was the first Princess- Abbess of Quedlinburg.
She was the daughter of Otto I, Holy Roman Emperor, and his second wife, Adelaide of Italy.
Hedwig, Abbess of Quedlinburg
Hedwig of Saxony( 31 October 1445 – 13 June 1511) was Princess- Abbess of Quedlinburg from 1458 until her death.
Adelaide II, Abbess of Quedlinburg
Adelaide II( 1045 – 11 January 1096), a member of the Salian dynasty, was Abbess of Gandersheim from 1061 and Abbess of Quedlinburg from 1063 until her death.
Agnes II, Abbess of Quedlinburg
Agnes II( Agnes of Meissen; 1139 – 21 January 1203) was a member of the House of Wettin who reigned as Princess- Abbess of Quedlinburg.
Anna Amalia, Abbess of Quedlinburg
Princess Anna Amalia of Prussia (9 November 1723 – 30 March 1787) was Princess-Abbess of Quedlinburg.
She was one of ten surviving children of King Frederick William I of Prussia and Sophia Dorothea of Hanover.
Agnes I, Abbess of Quedlinburg
Agnes I( born c. 1090; died 29 December 1125 in Quedlinburg) was Abbess of Gandersheim and Quedlinburg.
She was the second daughter of Judith of Swabia and Władysław I Herman.
She was the granddaughter of Henry III, Holy Roman Emperor.
Agnes became abbess at Gandersheim Abbey, place of several famous women, such as Hroswitha of Gandersheim, recorded by Conrad Celtes.
She was Princess- Abbess of Quedlinburg from 1110 until 1125.
She was excommunicated by Pope Calixtus II for her loyalty to her paternal uncle, Henry V, the King of the Romans in 1119.
Adelaide I, Abbess of Quedlinburg
Adelaide I( 973/74 – 14 January 1044 or 1045), a member of the royal Ottonian dynasty was the second Princess- abbess of Quedlinburg from 999, and Abbess of Gernrode from 1014, and Abbess of Gandersheim from 1039 until her death, as well as a highly influential kingmaker of medieval Germany.
Władysław I Herman
Władysław I Herman( 1044 – 4 June 1102) was a Duke of Poland from 1079 until his death.
He was the second son of Casimir I the Restorer by his wife Maria Dobroniega, daughter of Vladimir the Great, Grand Duke of Kiev.
Anna Sophia II, Abbess of Quedlinburg
Landgravine Anna Sophia of Hesse- Darmstadt( 17 December 1638 – 13 December 1683) was a German noblewoman who reigned as Princess- Abbess of Quedlinburg under the name Anna Sophia II.

Question: Who is Agnes I, Abbess Of Quedlinburg's paternal grandfather?
Answer: Casimir I the Restorer