Hi Deborah, I hope you don't mind, I found this information on the three daughters of Alivardi. It seems they all married and had children.
I got the information from here:
http://en.banglapedia.org/index.php?title=Main_Page
Ghaseti Begum alias Mihrunnisa was the eldest of the three daughters of Nawab alivardi khan. The nawab got them married to the three sons of his elder brother Haji Ahmed. Ghaseti was married to nawazish muhammad Shahmat Jang who was appointed naib nazim of Dhaka. This beloved and domineering eldest daughter of Alivardi had used her position of influence to amass vast fortunes. Childless Nawazish and Ghaseti had adopted lkramuddaula, the younger brother of sirajuddaula. The prince died of smallpox and Nawazish survived him but a few days. Ghaseti inherited the vast wealth of her husband which, along with her earlier accumulated fortune, she stored in the motijheel palace, which was heavily guarded by her trusted troops. rajballabh, who had considerable influence on Ghaseti Begum, efficiently managed the financial administration of Dhaka.
Meanwhile the aging nawab had nominated Sirajuddaula, the son of his youngest daughter, as the heir. Ghaseti conspired against the nomination and tried to place shawkat jang, the son of her second sister, on the throne instead. Siraj, however, ascended the masnad after his grandfather and almost immediately took steps against Ghaseti, whom he placed in confinement. Sirajuddaula also demanded a statement of the Dhaka treasury from Rajballabh who failed to send a correct statement. His son Krishnaballabh took shelter in the east india company's fort william in Calcutta. The nawab sent a letter to Roger drake, the English governor of Calcutta, asking him to hand over Krishnaballabh to him.
mir jafar, the chief of Alivardi's army, also felt uneasy at the accession of Sirajuddaula. Ghaseti leagued herself secretly with Mir Jafar. She distributed money lavishly wherever she thought it would be effectual against Siraj. jagat sheth and umichand, the merchants, also joined hands with Ghaseti and Mir Jafar. The common aim of these conspirators was to remove Sirajuddaula. After the battle of palashi, Sirajuddaula was murdered and Mir Jafar made nawab by the British. Mir Jafar first imprisoned Ghaseti along with amina begum, the mother of the fallen nawab, in Murshidabad. Thereafter they were shifted to Dhaka and interned in the jinjira palace. Miran, son of Mir Jafar, considered Ghaseti a dangerous enemy even in prison. Ghaseti and Amina Begum were ordered by Miran to be shifted to Murshidabad. It is said that they were drowned in the Buriganga. [Shahriyar ZR Iqbal]
Amina Begum mother of sirajuddaula, was the youngest daughter of Nawab alivardi khan. She was married to Haji Ahmed's youngest son zainuddin ahmad khan. Sirajuddaula and Mirza Mehdi Ikramuddaula were their two sons. When Zainuddin, naib nazim of Patna, was killed by the rebel Afghan leaders Amina Begum was made captive. Alivardi Khan led an expedition against the Afghans and rescued her from captivity.
Unlike her elder sister ghaseti begum, Amina Begum was not known so much politically. She had very little control over the frivolous and immature Nawab Sirajuddaulah. After the battle of palashi (1757), mir jafar and his son Miran behaved ruthlessly with Sirajuddaula and the surviving members of his family. Mir Jafar imprisoned Siraj's widow lutfunnisa begum, his four-year-old daughter, his mother Amina Begum, late Nawab Alivardi's widow Sharifunnisa and many other dignified ladies. Alivardi's eldest daughter Ghaseti Begum, who had helped Mir Jafar with immense wealth, was also not spared.
All these ladies were put on a boat and sent to Jahangirnagar (Dhaka) where they were imprisoned (1758). In 1760 Miran sent one of his followers to Jahangirnagar and instructed him to bring some of them to murshidabad. The boat on which they were travelling was treacherously sunk in the river buriganga at Miran's instigation. All, including Amina Begum, were drowned and had a watery grave. [KM Karim]
I can't find the name of the second daughter, but she married her cousin Sayed Ahmed Khan, and they had at least one child, a son called Shawkat Jang.
I hope this is helpful.
take care
BessieA