Question: During what war, fought during 1558-1583, did the Siege of Wesenberg occur? 

Context paragraphs:
Russo-Swedish War (1554–57): The Russo-Swedish War of 1554–1557, considered a prelude to the Livonian War of 1558–1583, arose out of border skirmishes.  It ended when the parties agreed on a truce in the Treaty of Novgorod (1557).

Livonian War: The Livonian War (1558–1583) was fought for control of Old Livonia (in the territory of present-day Estonia and Latvia), when the Tsardom of Russia faced a varying coalition of Denmark–Norway, the Kingdom of Sweden, and the Union (later Commonwealth) of the Grand Duchy of Lithuania and the Kingdom of Poland.

Siege of Narva (1558): The Siege of Narva (Estonian: "Narva piiramine" ; Russian: Осада Нарвы ) was a Russian siege of the Livonian city of Narva (in modern-day eastern Estonia) from April through May 1558, during the Livonian War.  After capturing the city in July 1558, the Russians used Narva as a trading center and port to transport commerce from Pskov and Novgorod.  The Russians controlled the city until 1581, when it was captured by Swedish forces under Pontus De La Gardie.

Krzysztof Radziwiłł's raid to Moscow: Krzysztof Radziwiłł raid on Moscow was a military raid on the Grand Duchy of Moscow led by Krzysztof Mikołaj "the Thunderbolt" Radziwiłł, Field Hetman of the Grand Duchy of Lithuania, during the final stages of the Livonian War (1558–1583).  The raid started in conjunction with the preparation for the Siege of Pskov.  It was a diversionary measure to protect the main Polish–Lithuanian forces at Pskov from a Russian attack.  Radziwiłł's cavalry raided deep into the Grand Duchy of Moscow, reaching Upper Volga.  That made the raid one of the most distant Lithuanian raids.  The raid was successful: Radziwiłł's men gained much loot, protected the main Polish–Lithuanian forces, and contributed to Tsar Ivan IV agreeing to negotiate the Truce of Jam Zapolski.

Siege of Pskov: The Siege of Pskov, known as the Pskov Defense in Russia (Russian: оборона Пскова ), took place between August 1581 and February 1582, when the army of the Polish king and Grand Duke of Lithuania Stephen Báthory laid an unsuccessful siege and successful blockade of the city of Pskov during the final stage of the Livonian War of 1558–1583.

Kingdom of Livonia: The Kingdom of Livonia was a nominal state in what is now the territory of Estonia and Latvia.  The Russian Tsar Ivan IV declared the establishment of the kingdom during the Livonian War of 1558-1583, but it never functioned properly as a polity.  On June 10, 1570 the Danish Duke Magnus of Holstein arrived in Moscow, where he was crowned King of Livonia.  Magnus took the oath of allegiance to Ivan as his overlord and received from him the corresponding charter for the vassal kingdom of Livonia in what Ivan termed his patrimony.  The treaty between Magnus and Ivan IV was signed by an oprichnik and by a member of the "zemskii" administration, the d'iak Vasiliy Shchelkalov.  The territories of the prospective new kingdom still had to be conquered, but nevertheless Põltsamaa Castle was proclaimed the future official residence of the king.  The new king Magnus of Livonia departed from Moscow with 20,000 Russian soldiers for the conquest of Swedish-controlled Reval.  Ivan's hope for the support of King Frederick II of Denmark, the older brother of Magnus, failed.  By the end of March 1571 Magnus gave up the struggle for Reval and abandoned the siege.

Siege of Wesenberg (1574): The Siege of Wesenberg (Rakvere, Rakovor) was an abortive Swedish siege of the Russian-held town of Wesenberg in Estonia from January through March 1574, during the Livonian War.  The siege is infamous for a brawl and subsequent combat between German and Scottish mercenaries within the besieging army, which claimed the lives of about 1,500 Scots.  Wesenberg was seized in a renewed Swedish assault in 1581.

Siege of Godesberg: The Siege of Godesberg, 18 November – 17 December 1583, was the first major siege of the Cologne War (1583–1589).  Seeking to wrest control of an important fortification, Bavarian and mercenary soldiers surrounded the Godesberg, and the village then of the same name, now Bad Godesberg, located at its foot.  On top of the mountain sat a formidable fortress, similarly named Godesburg, built in the early 13th century during a contest over the election of two competing archbishops.

Treaty of Plussa: The Treaty or Truce of Plussa, Pljussa, Plyussa or Narva and Plusa (Russian: Плюсское перемирие , Swedish: "Stilleståndsfördrag vid Narva å och Plusa" ) was a truce between Russia and Sweden, which ended the Livonian War (1558-1583).  The truce was signed on 10 August 1583 at the Plyussa River north of the city of Pskov.  The truce was set to expire in 1586, but was extended in 1585-1586.

Siege of Eindhoven (1583): The Siege of Eindhoven, also known as the Capture of Eindhoven of 1583, took place between February 7 and April 23, 1583, at Eindhoven, Duchy of Brabant, Spanish Netherlands (present-day North Brabant, the Netherlands) during the Eighty Years' War and the Anglo-Spanish War (1585–1604).  On February 7, 1583, a Spanish force sent by Don Alexander Farnese ("Spanish: Alejandro Farnesio"), Governor-General of the Spanish Netherlands, commanded by Karl von Mansfeld and Claude de Berlaymont laid siege to Eindhoven, an important and strategic city of Brabant held by Dutch, Scottish and French soldiers under the States' commander Hendrik van Bonnivet.  After three months of siege, and the failed attempts by the States-General to assist Bonnivet's forces, the defenders surrendered to the Spaniards on April 23.

Supporting paragraphs: Siege of Wesenberg (1574) Livonian War
Answer: Livonian War