Question: Who is Walram, Count Of Jülich's paternal grandmother?

Knowledge 1: Walram, Count of Jülich
Walram, Count of Jülich (1240/45 – Battle of Furnes, 20 August 1297) was the second son of William IV, Count of Jülich and Richardis of Guelders, daughter of Gerard III, Count of Guelders.In 1278, Walram succeeded his father as Count of Jülich when his father and his elder brother, William, were slain together in Aachen.He served as Provost at Aachen as late as 1279/1280.Walram was a fierce opponent of the Archbishop of Cologne and a partisan of the Duke of Brabant in the War of succession for Limburg.In the Battle of Woeringen in 1288 he captured Archbishop Siegfried, which enabled him to gain supremacy over the Archbishop.He won Zülpich among others and secured his other fiefs.<br>Walram was killed in the Battle of Furnes on 20 August 1297, fighting alongside Guy, Count of Flanders against the French. [SEP] Knowledge 2: William IV, Count of Jülich
William IV, Count of Jülich (c. 1210 – 16 March 1278) was the son and heir of William III of Jülich and Mathilde of Limburg, daughter of Waleran III, Duke of Limburg.William's father joined the Crusades in 1217 and died in the Siege of Damietta in 1218.William succeeded his father as Count of Jülich under the guardianship of his uncle, Eberhard of Hengenbach.In the 1220s and early 1230s William greatly expanded his territory.In 1234 he fought in the battle of Altenesch in the Stedinger Crusade and was made imperial administrator of Konzen and Aachen, guardian of Kornelimünster and over the possessions of Essen Abbey on the left bank of the Rhine river.He also won the imperial fiefdoms of Sinzig, Hengenbach-Heimbach, Merzenich, Thürnich, Düren and Bardenberg, thus doubling the possessions of the Counts of Jülich.By 1240 William's territorial expansion created conflict on the eastern side of his territory with the Archbishop of Cologne.William was a loyal supporter of the House of Hohenstaufen which made him a rugged opponent of Cologne Archbishop Konrad von Hochstaden, under whose rule more disputes with William broke out.As a result of the Hochstander inheritance, William gained parts of Münstereifel, which moved him even closer to his opponent.In 1242 in the battle of Lövenich, William captured Konrad and forced him to renew all of William's Cologne fiefs.In 1262 William and Engelbert I, Count of the Mark, came to the assistance of the Teutonic Knights during the Siege of Königsberg.In the battle of Zülpich in 1267, William captured Engelbert II of Falkenburg, Archbishop of Cologne, and held him captive in the castle of Nideggen until 1270/71, again forcing the Archbishop to recognize all of William's Cologne fiefs.As a result of this action, William was excommunicated by Pope Clement IV from 1268 to 1270.William supported Richard of Cornwall as King of the Romans and Richard confirmed all of William's imperial fiefs.William also supported the Kingdom of France against King Alfonso X of Castile in 1267/77.He stood against Guelders, Cleves and Heinsberg because of their similar interests.On the night of 16 March 1278, which has become known as Gertrudisnacht (Night of St. Gertrude), William, along with his sons William and Roland (and according to some sources, a third son), entered the town of Aachen to collect taxes for King Rudolph I of Germany.There was a riot and William and his sons were killed.The city of Aachen was later ordered to pay a high compensation to William's widow Richardis on account of his murder.
Knowledge 1: Walram, Count of Jülich
Walram, Count of Jülich (1240/45 – Battle of Furnes, 20 August 1297) was the second son of William IV, Count of Jülich and Richardis of Guelders, daughter of Gerard III, Count of Guelders.In 1278, Walram succeeded his father as Count of Jülich when his father and his elder brother, William, were slain together in Aachen.He served as Provost at Aachen as late as 1279/1280.Walram was a fierce opponent of the Archbishop of Cologne and a partisan of the Duke of Brabant in the War of succession for Limburg.In the Battle of Woeringen in 1288 he captured Archbishop Siegfried, which enabled him to gain supremacy over the Archbishop.He won Zülpich among others and secured his other fiefs.<br>Walram was killed in the Battle of Furnes on 20 August 1297, fighting alongside Guy, Count of Flanders against the French. [SEP] Knowledge 2: William of Jülich
William of Jülich( The Younger)( Dutch:" Willem van Gulik( de Jongere)")( unknown – August 18, 1304) was one of the Flemish noblemen that opposed the annexation policies of the French king Philip IV – together with Pieter de Coninck.He was also archdeacon at the prince- bishopric of Liège.William was the son of William the Elder and grandson of William IV, Count of Jülich, and of Maria, a daughter of Guy of Dampierre, Count of Flanders and Matilda of Bethune.His connection to the Flemish count and his wish to avenge the imprisoning of his uncles Robert III of Bethune and by the French king presumably explains his support for the Flemish resistance.An extra incentive for this support could have been the murder of his uncle Walram, Count of Jülich by the French after the Battle of Bulskamp in 1297.The Flemish resistance led to the unexpected victory over the French during the Battle of the Golden Spurs in 1302.William of Jülich gained another victory against the French in the Battle of Arques( 1303).In 1304 however, the French king returned with an army and defeated the Flemings during the Battle of Mons- en- Pévèle.William died during this battle.
Knowledge 1: Gerhard V of Jülich
Gerhard V of Jülich( before 1250 – 29 July 1328), Count of Jülich( 1297 – 1328), was the youngest son of William IV, Count of Jülich and Richardis of Guelders, daughter of Gerard III, Count of Guelders.Gerhard succeeded his brother Walram as Count of Jülich in 1297.He supported King Adolf in the Battle of Göllheim in 1298, but when Adolf was killed by King Albert I, Gerhard submitted to Albert and was allowed to keep his imperial fief.He helped Albert against the Rhenish electors in 1300, which confirmed his interests with respect to Cologne.Gerhard also won the river duties of Kaiserswerth, Mönchen- Gladbach, Kessel- Grevenbroich, Rheydt, Münstereifel/ Bergheim and Müllenark, among others.In 1313, Gerhard supported Ludwig IV in the succession war for the throne of Germany and allowed Ludwig's coronation in Aachen against the will of the Archbishop of Cologne. [SEP] Knowledge 2: William V, Duke of Jülich
William V, Duke of Jülich( – 25/26 February 1361) was a German nobleman.Some authors call him William I, because he was the first" Duke of Jülich"; the earlier Williams had been" Count of Jülich".Other authors call the subject of this article" William VI"; they count the son and co-ruler of William IV as William V. William V was the eldest son of Gerhard V of Jülich and Elisabeth of Brabant- Aarschot, daughter of Godfrey of Brabant.William V was a key political figure of his time, being a brother- in- law to both Edward III of England and Emperor Ludwig IV.He spent enormous sums of money to have his brother Walram of Jülich appointed as Archbishop of Cologne over Adolph II of the Marck.In 1337 he was crucially involved in the German- English alliance which caused the start of the Hundred Years' War. William was an important supporter of Emperor Ludwig and for a time, he supported the Habsburgs against the House of Luxembourg in the Carinthian war of succession.Upon the collapse of the German- English alliance and the death of his brother- in- law, William switched his allegiance to Emperor Charles IV.In 1352 he initiated an inheritance tax on Heinsberg- Valkenburg/ Monschau.William won important positions through his Archbishop brother and also served for a time as a field captain for Flanders in the Hundred Years' War.His sons fought against him during an uprising of part of the Jülich knighthood which opposed inclusion in the increasing territorial state, and he was imprisoned by them in 1349, but released in 1351 due to public pressure.Upon his father's death in 1328, William became Count of Jülich.In 1336 William was appointed Margrave by his brother- in- law, Emperor Ludwig IV, and in 1356/ 57 he was raised to the level of Duke by Emperor Charles IV, thus becoming the first Duke of Jülich.His skillful marriage policy, especially the marriage of his son Gerhard to Margaret of Ravensberg, heiress of Berg and Ravensberg, enabled him to add territory to the house of Jülich.Upon William's death in 1361, the Duchy of Jülich passed to his second son, William, his eldest son having predeceased.William and his wife are buried in Nideggen.He seems to have held the title of Earl of Cambridge from 1340 to his death.

Answer: Mathilde of Limburg