Question: Who was related to the "Grand Vizier" (Prime minister) of the fifth Mughal emperor Shah Jahan, that was Empress consort of the Mughal Empire from 25 May 1611 to 28 October 1627?

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Gujarat under Jehangir: The Mughal Empire's province Gujarat (now in India) was managed by the Viceroys appointed by the emperors.  The emperor Jehangir continued Mírza Âzíz Kokaltásh as the viceroy when he ascended to the throne in 1605.  He continued to manage the province eventhough Khalij Khan was appointed as the new viceroy.  He was succeeded by Sayad Murtaza who controlled the rebellions in north and south Gujarat.  Mírza Âzíz Kokaltásh again returned as the viceroy and succeessfully averted invasion of Malik Ambar from Daulatabad in south.  The next viceroy Abdulláh Khán Fírúz Jang made expedition to south and subdued the Ahmednagar.  During his time, in 1611, Jehangir permitted the British East India Company to establish factories in Surat and elsewhere in Gujarat.  During reign of the next viceroy Mukarrab Khán, Jehangir toured Gujarat and received several local rulers.  In 1618, he appointed his son prince Shah Jahan as the next viceroy.  He rebelled in 1622-23 and he was replced by Sultán Dáwar Baksh.  Shah Jahan resisted but later he managed the Jehangir's new appointment, Khán Jahán as his own.  Saif Khan had managed the province instead as Khan Jahan was sent as Shah Jahan's ambassador to Jehangir.  Jehangir died and Shah Jahan succeeded him as the emperor in 1627.

Mumtaz Mahal: Mumtaz Mahal (] ; meaning "the Exalted One of the palace"; born Arjumand Banu) (27 April 1593 – 17 June 1631) was Empress consort of the Mughal Empire from 19 January 1628 to 17 June 1631 as the chief consort of the Mughal emperor Shah Jahan.  The UNESCO World Heritage Site, Taj Mahal in Agra, often cited as one of the Wonders of the World, was commissioned by adithya Kumar samynd to act as her final resting place.

Battle of Samugarh: Battle of Samugarh, Jang-e-Samugarh, (May 29, 1658), was a decisive battle in the struggle for the throne during the "Mughal war of succession (1658–1659)" between the sons of the Mughal Emperor Shah Jahan after the emperor's serious illness in September 1657.  The battle of Samugarh was fought between his sons Dara Shikoh (the eldest son and heir apparent) and his two younger brothers Aurangzeb and Murad Baksh (third and fourth sons of the Mughal Emperor Shah Jahan).

Gujarat under Mughal Empire: In 1573, Akbar (1573-1605), the emperor of the Mughal Empire captured Gujarat (now a state in western India) by defeating Gujarat Sultanate under Muzaffar Shah III.  Muzaffar tried to regain the Sultanate in 1584 but failed.  Gujarat remained the Mughal province ("subah") governed by the viceroys and officers appointed by the Mughal emperors from Delhi.  Akbar's foster brother Mirza Aziz Kokaltash was appointed as the viceroy who strenghthened Mughal hold over the region.  The nobles of former Sultanate continued to resist and rebel during the reign of the next emperor Jehangir (1605-1627) but Kokaltash and his successor viceroys subdued them.  Jehangir also permitted the British East India Company to establish factories in Surat and elsewhere in Gujarat.  The next emperor Shah Jahan (1627-1658) expanded his terrotories in south and his viceroys made hold over Kathiawar peninsula including Nawanagar.  Shah Jahan had also appointed his prince Aurangzeb, who was involved in religious disputes, prince Dara Shikoh and later prince Murad Bakhsh as viceroys.  Following battle of succession, Aurangzeb (1658-1707) came to the Mughal throne and his policies resulted in revolts and discontent.  During his reign, the Marathas under Shivaji raided Surat (1666) and their incursions in Gujarat started.  Till then Gujarat prospered due to political stability, peace and growing international trade.

Gujarat under Shah Jahan: The Mughal Empire's province Gujarat (now in India) was managed by the Viceroys appointed by the emperors.  On the death of the emperor Jehangir, his son Shah Jahan ascended the to throne in 1627.  His Gujarat viceroy Sher Khán Túar worked for relief in 1631-31 femine in the province.  Shah Jahan sent his men to expand its territories further south.  Between 1632 to 1635, four viceroys were appointed due to their precious gift to the emperor and they could not manage the province well.  Kolis of Kankrej in north Gujarat committed excesses and the Jam of Nawanagar did not paid the tribute.  Soon Azam Khan was appointed who put the province in order by subdueing Kolis in north and Kathis in Kathiawad.  He also made the Jam of Nawanagar surrender.  The next viceroy Ísa Tarkhán carried out financial reforms.  In 1644, the Mughal prince Aurangzeb was appointed as the viceroy who was engaged in relious disputes for destroying a Jain temple in Ahmedabad.  Due to his disputes, he was replaced by Sháistah Khán who failed to subdue Kolis.  So the prince Murad Bakhsh was appointed as the viceroy in 1654.  He restored the disorder soon.  In 1657, hearing news of Shah Jahan's severe illness, Murad Bakhsh declared himself the emperor and rebelled with his brother Aurangzeb.  They defeated the Jaswant Singh and Kásam Khán, whom Sháh Jahán had appointed viceroys of Málwa and Gujarát respectively in the battle of Dharmatpur.  They further went to the capital, Agra but were confronted by Dara Shikoh.  They defeated him in the Battle of Samugarh (1658).  Soon Aurangzed dumped and imprisioned Murad Bakhsh, confined his father and declared himself the emperor in 1658.

Mian (tribe): The Mian (Urdu: ‎ ) is a Pakistani tribe who were the owner of Ishaqpura region, the territory where Mughal Empire wanted to build a Garden named as Shalimar in Lahore.  The tribesmen were specifically ranked authorities by Mughals.  The Mughal emperors were attribute them and gave them the title of "Nawab" and later the family received the title of 'Mian' from Mughal emperor Shah Jahan.  Finally Mian Muhammad Yousaf give his ancestoral land to emperor in lieu of a garden.  The project was finished and emperor Shah Jahan had granted the area back to same tribe's men as being the custodians of the site.  Since that day to Ayub Khan's martial law the Shalimar Garden was under the care of same family.  The tribe roots belong to Arains, who are associated with farming, some being zamindars, or landlords.

Mirza Ghazi Beg: Mirza Ghazi Beg Tarkhan (Persian: میرزا غازى بیگ ترخان‎ ‎ ) of Tarkhan Dynasty in Sindh ruled from the capital city of Thatta.  He was the most powerful Mughal governor who administered Sindh, during whose rule the region had become fiercely loyal to the Mughals.  In Sindh a network of small and large forts manned by cavalry and musketeers further extended Mughal power during the reign of Mughal Emperor Shah Jahan.  He was a descendant of the powerful Mirza clan which had arrived in the region with the Mughal Emperor "Mirza" Babur Beg who had conquered South Asia in 1526.  Mirza Ghazi Beg spoke nearly three languages which include Sindhi (his native-tongue), Persian (the official language of the Mughal Empire) and some Turkic.

Nur Jahan: Nur Jahan (born Mehr-un-Nissa) (31 May 1577 – 17 December 1645) was Empress consort of the Mughal Empire from 25 May 1611 to 28 October 1627 as the eighteenth (and last) wife of the Mughal emperor Jahangir.  She was also his most beloved and influential wife and acted as his chief consort and "Padshah Begum", officially from 1620–1627, after the title's previous holder, Saliha Banu Begum (the Padshah Begum for most of Jahangir's reign), died in 1620.

Roshanara Begum: Roshanara Begum (Urdu: شاهزادی روشن آرا بیگم ‎ ) (3 September 1617 – 11 September 1671) was a Mughal princess and the second daughter of Mughal emperor Shah Jahan and his chief consort, Empress Mumtaz Mahal.  Roshanara was a brilliant woman, a talented poet, the mastermind behind her brother, Aurangazeb's accession to the Mughal throne and, by the time of her death in 1671, one of the most notorious women in the Mughal Empire.

Abu'l-Hasan Asaf Khan: Abu'l-Hasan ( 1569 - 12 June 1641) entitled by the Mughal emperor Jahangir as Asaf Khan, was the "Grand Vizier" (Prime minister) of the fifth Mughal emperor Shah Jahan.  Asaf Khan was the father of Arjumand Banu Begum (better known by her title Mumtaz Mahal), the chief consort of Shah Jahan and the older brother of Empress Nur Jahan, the chief consort of Shah Jahan's father, Jahangir.

Supporting paragraphs: Abu'l-Hasan Asaf Khan Nur Jahan
Answer: Nur Jahan