Mariam Dadiani (1783–1841)
Mariam Dadiani( 1783 – 19 March 1841) was the last Queen Consort of the western Georgian kingdom of Imereti as the wife of King Solomon II.
She was a daughter of Katsia II Dadiani, Prince of Mingrelia.
After the Russian conquest of Imereti and Solomon's flight to the Ottoman Empire in 1810, Mariam fell in the hands of the Russian authorities who sent her in exile to Russia proper, where she was known as Maria Katsiyevna Imeretinskaya.
Constantine Imeretinsky
Prince Konstantine Konstantines Dze Bagration- Imeretinsky( 1827-1885) was a Georgian royal prince(" batonishvili") of the royal Bagrationi dynasty of Imereti.
Son of Prince Constantine of Imereti( 1789- 1844) and Princess Ana Maria Tereza Denis Lopes de Silva.
Grandson of King David II of Imereti.
He married Princess Anna Kotlyarevskaya and had 4 children:
Solomon II of Imereti
Solomon II  (1772 – February 7, 1815), of the Bagrationi Dynasty, was the last King of Imereti (western Georgia) from 1789 to 1790 and from 1792 until his deposition by the Imperial Russian government in 1810.
He was born as David to Prince Archil of Imereti, brother of King Solomon I of Imereti, by his wife Helene, daughter of King Heraclius II of Georgia.
Solomon I, who died in 1784 without a male heir, named his nephew David as his successor.
However, Solomon's cousin David II prevented him, and another rival prince, from being crowned as king and occupied the throne, leading to a civil war.
Heraclius II interfered on behalf of his grandson and sent in an army, defeating David II at the Battle of Matkhoji on June 11, 1789.
David, son of Archil, was crowned as King of Imereti under the name of Solomon II, but David II continued his efforts to resume the throne until his final defeat in 1792.
He ruled under the protection of his maternal grandfather, Heraclius II, and continued Solomon
I's policy of restricting the powers of feudal aristocracy.
In 1795, he and Heraclius fought with a small Imeretian force at the Battle of Krtsanisi against the Persians, only to be completely defeated by the latter.
After Heraclius' death in 1798, and the annexation of the eastern Georgian kingdom of Kartli-Kakheti (east of Imereti) by Russia in 1800, the situation in Imereti became precarious.
His refractory vassals, princes of Mingrelia and Guria (west of Imereti), assumed the Russian protection and put forward territorial claims to the royal domains.
Solomon attempted to enlist Ottoman and Persian support against the anticipated Russian encroachment.
However, the Russian commander in Georgia, Prince Pavel Tsitsianov, moved his army into Imereti and forced Solomon to succumb to Russian vassalage in the convention of Elaznauri of April 25, 1804.
Yet, Solomon's relations with Russia continued to be strained.
On February 20, 1810, the Russian administration removed Solomon from the throne and sent in troops to take control of the kingdom.
Solomon retaliated by rallying people against Russia and tried to enlist Turkey, Persia and Napoleonic France in his cause.
Outnumbered and defeated, Solomon fled to the Ottoman possessions in Trebizond where he died in 1815 and was buried at the Saint Gregory of Nyssa Church.
The body of Solomon II, the last reigning Georgian king, was moved from Trebizond to Gelati Monastery, Georgia, in 1990.
Solomon was married to Mariam (1783–1841), daughter of Katsia Dadiani, Prince of Mingrelia, with no children.
Prince Khosro of Imereti
Khosro( died c. 1570) was a Georgian prince of the Bagrationi dynasty of the Kingdom of Imereti, who led an abortive revolt against King George II of Imereti in 1568.
Princess Elene of Georgia
Elene( 1753 – 17 June 1786) was a Georgian princess royal(" batonishvili"), a daughter of Heraclius II, King of Kartli and Kakheti.
She was the mother of Solomon II of Imereti, the last king to have reigned in the Georgian polities.
Prince Archil of Imereti
Archil  (died 6 October 1775) was a Georgian royal prince ("batonishvili") of the Bagrationi dynasty of Imereti.
Prince Archil was a younger son of King Alexander V of Imereti by his wife, Tamar Abashidze and a brother of King Solomon I of Imereti.
From 1769 to 1770, he commanded an Imeretian force against the Mingrelians around Khoni and, in July 1775, raided Atskuri in the Pashalik of Akhaltsikhe.
In 1772 Archil married Princess Elene of Georgia, a daughter of King Heraclius II of Georgia.
The marriage was political, forced upon Elene, who was in love with Prince Zakaria Andronikashvili.
Archil died at Kaskhi in 1775.
Prince Constantine of Imereti (1789–1844)
Constantine(" KonstantineKonstantin Davidovich Imeretinsky")( 4 July 1789 – 3 May 1844) was a Georgian royal prince(" batonishvili"), belonging to the Imereti branch of the Bagrationi dynasty.
A son of King David II of Imereti, Constantine was recognized as heir apparent by Solomon II, who had supplanted his father.
Constantine's succession to the throne of Imereti was precluded by the Russian annexation of that country in 1810.
Constantine subsequently entered the Russian Imperial military service, where he rose to the rank of Major- General.
Prince Bagrat of Imereti
Bagrat( 1741–1800) was a Georgian royal prince(" batonishvili") of the Bagrationi dynasty of Imereti.
He was the common ancestor of all male- line descendants of the kings of Imereti, surviving into the 21st century.
Prince Bagrat was a younger of King Alexander V of Imereti by his wife, Tamar née Abashidze.
He was, thus, a younger brother of King Solomon I of Imereti and an uncle of Solomon II, the last reigning monarch of Imereti.
Prince Bagrat was married to Mariam( 1741 – 1820), daughter of Prince Giorgi, Eristavi of Guria.
He had two children:
Levan Abashidze (died 1757)
Levan Abashidze( died December 14, 1757) was a member of the Georgian princely family(" tavadi") of Abashidze, prominent in the politics of the kingdom of Imereti in the 18th century.
He was the maternal grandfather of King Solomon I of Imereti, whom he fought and eventually met his death in the battle with Solomon's army at Khresili.
Prince Simon of Imereti
Simon( born 1771) was a Georgian royal prince(" batonishvili") of the Bagrationi dynasty of Imereti.
Simon was a natural son of Prince Bagrat of Imereti and grandson of King Alexander V of Imereti.
He had one son, Rostom, whose descendants, in contrast to the scions of the Imeretian royals, were not recognized in princely rank by the Russian Empire after its annexation of Imereti in 1810.
Instead, they were reduced to the rank of untitled nobility(" aznauri") with the surname of Bagrationi and are mentioned as such in the list of the Imeretian nobility confirmed by the tsar in 1850.
As of 2015, they are the only surviving male- line descendants of the royal house of Imereti.
Their familial village is Gvankiti, in Imereti.

Question: Who is the paternal grandfather of Solomon Ii Of Imereti?
Answer: Alexander V of Imereti