Answer by taking a quote from the following article:

Prince Grigory Aleksandrovich Potemkin-Tavricheski (Russian: Grigorii Aleksandrovich Potiomkin-Tavricheskii; 'Potyomkin', r Grigoriy Aleksandrovich Potyomkin-Tavricheskiy; October 11 [O.S. September 30] 1739 - October 16 [O.S. October 5] 1791) was a Russian military leader, statesman, nobleman and favourite of Catherine the Great. He died during negotiations over the Treaty of Jassy, which ended a war with the Ottoman Empire that he had overseen. Potemkin was born into a family of middle-income noble landowners.

A distant relative of the Moscovite diplomat Pyotr Potemkin (1617-1700), Grigory was born in the village of Chizhovo near Smolensk into a family of middle-income noble landowners. The family claimed Polish ancestry. His father, Alexander Potemkin, was a decorated war veteran; his mother Daria was "good-looking, capable and intelligent", though their marriage proved ultimately unhappy. Potemkin received his first name in honour of his father's cousin Grigory Matveevich Kizlovsky, a civil servant who became his godfather. It has been suggested that Kizlovsky fathered Potemkin, who became the centre of attention, heir to the village and the only son among six children. As the son of an (albeit petty) noble family, he grew up with the expectation that he would serve the Russian Empire.  After Alexander died in 1746, Daria took charge of the family. In order to achieve a career for her son, and aided by Kizlovsky, the family moved to Moscow, where Potemkin enrolled at a gymnasium school attached to the University of Moscow. The young Potemkin became adept at languages and interested in the Russian Orthodox Church. He enlisted in the army in 1750 at age eleven, in accordance with the custom of noble children. In 1755 a second inspection placed him in the elite Horse Guards regiment . Having graduated from the University school, Potemkin became one of the first students to enroll at the University itself. Talented in both Greek and theology, he won the University's Gold Medal in 1757 and became part of a twelve-student delegation sent to Saint Petersburg later that year. The trip seems to have affected Potemkin: afterwards he studied little and was soon expelled. Faced with isolation from his family, he rejoined the Guards, where he excelled. At this time his net worth amounted to 430 souls (serfs), equivalent to that of the poorer gentry. His time was taken up with "drinking, gambling, and promiscuous lovemaking", and he fell deep in debt.  Grigory Orlov, one of Catherine's lovers, led a palace coup in June 1762 that ousted the Emperor Peter III and enthroned Catherine II. Sergeant Potemkin represented his regiment in the revolt. Allegedly, as Catherine reviewed her troops in front of the Winter Palace before their march to the Peterhof, she lacked a sword-knot (or possibly hat plumage), which Potemkin quickly supplied. Potemkin's horse then (appeared to) refuse to leave her side for several minutes before Potemkin and horse returned to the ranks. After the coup Catherine singled out Potemkin for reward and ensured his promotion to second lieutenant. Though Potemkin was among those guarding the ex-Tsar, it appears that he had no direct involvement in Peter's murder in July. Catherine promoted him again to Kammerjunker (gentleman of the bedchamber), though he retained his post in the Guards. Potemkin was soon formally presented to the Empress as a talented mimic; his imitation of her was well received.  Potemkin then embarked on a period of city-founding. Construction started at his first effort, Kherson, in 1778, as a base for a new Black Sea Fleet he intended to build. Potemkin approved every plan himself, but construction was slow, and the city proved costly and vulnerable to plague. Next was the port of Akhtiar, annexed with the Crimea, which became Sevastopol. Then he built Simferopol as the Crimean capital. His biggest failure, however, was his effort to build the city of Ekaterinoslav (lit. The glory of Catherine), now Dnipropetrovsk. The second most successful city of Potemkin's rule was Nikolayev (now better known as Mykolaiv), which he founded in 1789. Potemkin also initiated the redesign of Odessa after its capture from the Turks; it was to turn out to be the greatest.  Potemkin's Black Sea Fleet was a massive undertaking for its time. By 1787, the British ambassador reported twenty-seven battleships. It put Russia on a naval footing with Spain, though far behind the British Navy. The period represented the peak of Russia's naval power relative to other European states. Potemkin also rewarded hundreds of thousands of settlers who moved into his territories. It is estimated that by 1782 the populations of Novorossiya and Azov had doubled during a period of "exceptionally rapid" development. Immigrants included Russians, foreigners, British convicts diverted from Australia, Cossacks and controversially Jews. Though the immigrants were not always happy in their new surroundings, on at least one occasion Potemkin intervened directly to ensure families received the cattle to which they were entitled. Outside of Novorossiya he drew up the defensive Azov-Mozdok line, constructing forts at Georgievsk, Stavropol and elsewhere and ensured that the whole of the line was settled.  In 1784 Lanskoy died and Potemkin was needed at court to console the grieving Catherine. After Alexander Yermolov was installed as the new favorite in 1785, Catherine, Yermolov and Potemkin cruised the upper Volga. When Yermolov attempted to unseat Potemkin (and attracted support from Potemkin's critics), he found himself replaced by Count Alexander Dmitriev-Mamonov in the summer of 1786. Potemkin returned to the south, having arranged that Catherine would visit in the summer of 1787. She reached Kiev in late January, to travel down the Dnieper after the ice had melted (see Crimean journey of Catherine the Great). Potemkin had other lovers at this time, including a 'Countess' Sevres and a Naryshkina. Leaving in April, the royal party arrived in Kherson a month later. On visiting Sevastopol, Austria's Joseph II, who was traveling with them, was moved to note that "The Empress is totally ecstatic... Prince Potemkin is at the moment all-powerful".  Potemkin fell ill in the fever-ridden city of Jassy, though he kept busy, overseeing peace talks, planning his assault on Poland and preparing the army for renewed war in the south. He fasted briefly and recovered some strength, but refused medicine and began to feast once again, consuming a "ham, a slated goose and three or four chickens". On October 13 [O.S. October 2], he felt better and dictated a letter to Catherine before collapsing once more. Later, he awoke and dispatched his entourage to Nikolayev. On October 16 [O.S. October 5] 1791 Potemkin died in the open steppe, 40 miles from Jassy. Picking up on contemporary rumor, historians such as the Polish Jerzy Lojek have suggested that he was poisoned because his madness made him a liability, but this is rejected by Montefiore, who suggests he succumbed to bronchial pneumonia instead.  Potemkin was embalmed and a funeral was held for him in Jassy. Eight days after his death, he was buried. Catherine was distraught and ordered social life in St. Petersburg be put on hold. Derzhavin's ode Waterfall lamented his death; likewise many in the military establishment had looked upon Potemkin as a father figure and were especially saddened by his death. Polish contemporary Stanislaw Malachowski claimed that Aleksandra von Engelhardt, a niece of Potemkin and wife to Franciszek Ksawery Branicki, a magnate and prominent leader of the Targowica Confederation, also worried for the fate of Poland after the death of the man who had planned to revitalise the Polish state with him as its new head. Potemkin had used the state treasury as a personal bank, preventing the resolution of his financial affairs to this day. Catherine purchased the Tauride Palace and his art collection from his estate, and paid off his debts. Consequently, he left a relative fortune. Catherine's son Paul, who succeeded to the throne in 1796, attempted to undo as many of Potemkin's reforms as possible. The Tauride Palace was turned into a barracks, and the city of Gregoripol, which had been named in Potemkin's honor, was renamed.  Potemkin's grave survived a destruction order issued by Paul and was eventually displayed by the Bolsheviks. His remains now appear to lie in his tomb at St. Catherine's Cathedral in Kherson. The exact whereabouts of some of his internal organs, including his heart and brain first kept at Golia Monastery in Jassy, remain unknown.

Did he die at home or in a hospital?
Jerzy Lojek have suggested that he was poisoned