Question: Who is Conrad I, Count Of Oldenburg's paternal grandmother?

Context paragraphs:
title: John VII, Count of Oldenburg
paragraph_text: Count John VII of Oldenburg and Delmenhorst( nicknamed" the Dike Builder"; 9 September 1540 in Oldenburg – 12 November 1603 in Oldenburg) was a member of the House of Oldenburg and was the ruling Count of County of Oldenburg from 1573 until his death. His parents were Count Anthony I of Oldenburg and Sophie of Saxe- Lauenburg.
title: Christian II, Count of Oldenburg
paragraph_text: Christian II, Count of Oldenburg( died 1233) was a German nobleman. He was the ruling Count of Oldenburg from 1209 until his death.
title: Conrad I, Count of Oldenburg
paragraph_text: Conrad I of Oldenburg (died 1347) was the Count of Oldenburg from 1344 to 1347. He succeeded his brother, John III of Oldenburg. He was the son of John II of Oldenburg and Hedwig of Diepholz. Conrad married Ingeborg, the daughter of Count Gerhard IV of Holstein-Plön. They had four children: Conrad I of Oldenburg is also a male-line ancestor of Queen Margrethe II of Denmark, King Harald V of Norway, and of Philip, Duke of Edinburgh, and thus of Charles, Prince of Wales, and Prince William, Duke of Cambridge.
title: John II, Count of Oldenburg
paragraph_text: John II of Oldenburg (died c. 1314 or 1316) was Count of Oldenburg from 1275 until around 1301. He was the son of Christian III, Count of Oldenburg and Hedwig von Oldenburg in Wildeshausen. John married twice. His first marriage was to Elisabeth, the daughter of John, Duke of Brunswick and Lunenburg and Liutgard von Holstein-Itzehoe. His second marriage was to Countess Hedwig of Diepholz. John had five children:
John II of Oldenburg is also the patriline ancestor of Queen Margrethe II of Denmark, Philip, Duke of Edinburgh, and thus of Charles, Prince of Wales and Prince William, Duke of Cambridge.
title: John VI, Count of Oldenburg
paragraph_text: John VI, Count of Oldenburg( 1501 in Oldenburg – 1548 in Bremen) was a Count of Oldenburg. He was the eldest son of John V, Count of Oldenburg and his wife, Anna of Anhalt- Bernburg. He was supposed to rule jointly with his younger brothers. However, his time in office was marked by conflicts between John VI and his co-rulers.
title: Christian, Duke of Oldenburg
paragraph_text: Christian, Duke of Oldenburg( born 1 February 1955) is the head of the Grand Ducal Family of Oldenburg.
title: John V, Count of Oldenburg
paragraph_text: John V, Count of Oldenburg and Delmenhorst (also counted as John XIV, including also non-ruling namesake siblings; 1460, Oldenburg – 10 February 1526, Oldenburg) was a member of the House of Oldenburg. He was the ruling Count of Oldenburg from 1500 to 1526. His parents were Gerhard VI, Count of Oldenburg and Adelheid of Tecklenburg.
title: Adolph, Count of Oldenburg-Delmenhorst
paragraph_text: Adolph, Count of Oldenburg- Delmenhorst( b. before 1463 – 17 February 1500) was a Count of Oldenburg from 1482 until his death.
title: Christian V, Count of Oldenburg
paragraph_text: Christian V, Count of Oldenburg( sometimes called" Christian VI"; – after 6 April 1399) was the ruling count of Oldenburg from 1368 until 1398. He was born sometime before 1347 to Count Conrad I of Oldenburg and Ingeborg of Brunswick. After his father died in 1368, he ruled Oldenburg jointly with his elder brother Conrad II, and after Conrad II's deaths in 1386, with the latter's son, Maurice II. He married Agnes of Honstein, and the Danish Royal houses of Oldenburg and Schleswig- Holstein- Sonderburg- Glücksburg descend from him via his son and successor Dietrich, Count of Oldenburg. Through the dynastic marriages of his descendants, he is an ancestor of many European Royal houses.
title: Anthony I, Count of Oldenburg
paragraph_text: Anthony I, Count of Oldenburg and Delmenhorst( 1505 – 22 January 1573, Oldenburg) was a member of the House of Oldenburg and was the Imperial Count of the Counties of Oldenburg and Delmenhorst within the Holy Roman Empire of German Nation. His parents were John V, Count of Oldenburg( 1460- 1525) and Anna of Anhalt- Zerbst.

Reasoning steps:
Conrad I of Oldenburg father John II of Oldenburg
John II of Oldenburg mother Hedwig von Oldenburg in Wildeshausen

Answer: spans: Hedwig von Oldenburg in Wildeshausen