Christian, Margrave of Brandenburg-Bayreuth
Christian, Margrave of Brandenburg-Bayreuth (30 January 1581 in Cölln – 30 May 1655 in Bayreuth) was a member of the House of Hohenzollern and Margrave of Brandenburg-Kulmbach
(later renamed "Brandenburg-Bayreuth").
He was the eldest of eleven children born to John George, Elector of Brandenburg by his third wife Princess Elisabeth of Anhalt-Zerbst.
John George, Elector of Brandenburg
John George of Brandenburg  (11 September 1525 – 8 January 1598) was a Prince-elector of the Margraviate of Brandenburg (1571–1598) and a Duke of Prussia.
A member of the House of Hohenzollern, he was the son of Joachim II Hector, Elector of Brandenburg, and his first wife Magdalena of Saxony.
Faced with large debts accumulated during the reign of his father, John George instituted a grain tax which drove part of the peasantry into dependence on a nobility that was exempt from taxation.
Though a staunch Lutheran opposed to the rise of Calvinism, he permitted the admission of Calvinist refugees from the wars in the Spanish Netherlands and France.
He was succeeded by his son Joachim Frederick.
Upon the death of his kinsman Albert I, Duke of Prussia in 1568, the Duchy of Prussia was inherited by the latter's underage son Albert Frederick.
John George's father was a co-inheritor of the Duchy of Prussia.
In 1577 the Brandenburg electors became co-regent with Duke Albert Frederick of Prussia.
Georg Albrecht, Margrave of Brandenburg-Bayreuth-Kulmbach
Georg Albrecht of Brandenburg-Bayreuth (Bayreuth, 20 March 1619 – Schretz, 27 September 1666), was a German prince and member of the House of Hohenzollern.
He was the eighth of the nine children of Christian, Margrave of Brandenburg-Bayreuth, by his wife, Marie of Prussia.
He was last child of his parents who survived into adulthood; his younger brother Frederick William, born in 1620, lived only one day.
Erdmann August, Hereditary Prince of Brandenburg-Bayreuth
Erdmann August of Brandenburg- Bayreuth( b. Bayreuth, 8 October
1615- d. Hof, 6 February 1651), was a member of the House of Hohenzollern and Hereditary Margrave( German:" Erbmarkgraf") of Brandenburg- Bayreuth.
He was the seventh of the nine children of Christian, Margrave of Brandenburg- Bayreuth by his wife, Marie of Prussia.
In fact, he was the third- born son but the only one to survive into adulthood; his two older brothers Georg Frederick( b. and d. 1608) and Christian Ernst( b. 1613- d. 1614) died long before his own birth.
In Ansbach on 8 December 1641, Erdmann August married the Margravine Sophie of Brandenburg- Ansbach, who was also his first cousin( daughter of Joachim Ernst, Margrave of Brandenburg- Ansbach, his father's brother).
They had only one son: Sophie died on 3 December 1646.
Erdmann August himself died four years later, aged thirty- five, in the middle of the preparations of his wedding with Sophie Agnes of Mecklenburg- Schwerin.
Because he predeceased his father, his son Christian Ernst succeeded as Margrave of Brandenburg- Bayreuth in 1655.
George Frederick Charles, Margrave of Brandenburg-Bayreuth
George Frederick Charles, Margrave of Brandenburg- Bayreuth( 19 June 1688 at Oberzulzbürg Castle, near Mühlhausen – 17 May 1735 in Bayreuth), was a German prince, member of the House of Hohenzollern, nominal Margrave of Brandenburg- Bayreuth- Kulmbach( 1708 – 35) and Margrave of Brandenburg- Bayreuth( 1726–35).
Frederick Christian, Margrave of Brandenburg-Bayreuth
Frederick Christian of Brandenburg- Bayreuth( 17 July 1708 in Weferlingen – 20 January 1769 in Bayreuth), was a member of the House of Hohenzollern and Margrave of Brandenburg- Bayreuth.
Frederick, Margrave of Brandenburg-Bayreuth
Frederick, Margrave of Brandenburg- Bayreuth( May 10, 1711 in Weferlingen – February 26, 1763 in Bayreuth), was a member of the House of Hohenzollern and Margrave of Brandenburg- Bayreuth.
He was the eldest son of Georg Frederick Karl, nominal Margrave of Brandenburg- Bayreuth- Kulmbach, by his wife Dorothea of Schleswig- Holstein- Sonderburg- Beck.
George William, Margrave of Brandenburg-Bayreuth
George William of Brandenburg- Bayreuth( German:" Georg Wilhelm"; 26 November 1678 in Bayreuth – 18 December 1726 in Bayreuth) was a member of the House of Hohenzollern and Margrave of Brandenburg- Bayreuth.
Christian Heinrich, Margrave of Brandenburg-Bayreuth-Kulmbach
Christian Heinrich of Brandenburg-Bayreuth-Kulmbach (Bayreuth, 29 July 1661 – Weferlingen, 5 April 1708), was a German prince and member of the House of Hohenzollern and nominal Margrave of Brandenburg-Bayreuth-Kulmbach.
Casimir, Margrave of Brandenburg-Bayreuth
Casimir( or Kasimir) of Brandenburg- Bayreuth( 27 December 1481 – 21 September 1527) was Margrave of Bayreuth or Margrave of Brandenburg- Kulmbach from 1515 to 1527.

Question: Who is the paternal grandmother of Christian, Margrave Of Brandenburg-Bayreuth?
Answer: Magdalena of Saxony