Prince Alexander of Imereti (1760–1780)
Alexander  (1760 – 1780) was a Georgian royal prince ("batonishvili") of the Bagrationi dynasty of the Kingdom of Imereti and the only son of King Solomon I of Imereti by his second wife Mariam née Dadiani.
In 1778, Alexander led a revolt against his own father, which gained support from many influential noble families, such as the Nizharadze, and the catholicos Maxim II Abashidze.
Solomon emerged victorious, forcing many of the rebels into exile in the neighboring Georgian kingdom of Kartli and Kakheti, whose ruler Heraclius II had indicated sympathy to the attempted coup.
Alexander eventually reconciled with Solomon, but died before his father, leaving the issue of succession unclear and open to rivaling claims, after Solomon's death in 1784, from Solomon's cousin David II, his nephew David (Solomon II), and George.
The latter was Alexander's natural son of his marriage (1779) with Princess Darejan née Tsulukidze, which was not recognized as legitimate by the church.
Alexander had no issue of his previous marriages with Salome, a daughter of Prince George of Georgia (the future king George XII; January 3, 1777), and with a daughter of Prince Paata Abashidze (1778).
Solomon I of Imereti
Solomon I, "the Great",  (1735 – April 23, 1784), of the Bagrationi Dynasty, was King of Imereti (western Georgia) from 1752 to 1765 and again from 1767 until his death in 1784.
Solomon was a son of Alexander V of Imereti by his second wife Tamar née Abashidze and succeeded upon his father's death in 1752.
He immediately launched a series of stringent measures against the renegade nobles and slave trade from which they profited in conjunction with the Ottoman authorities.
In 1752, the aristocratic opposition staged a coup, but Solomon quickly regained the crown and began a program of reforms aimed at stabilizing the kingdom torn apart by chronic civil wars.
The Ottomans, which saw Imereti as the sphere of their influence, sent in an army, but Solomon succeeded in mobilizing his nobles around him and defeated the invaders at the Battle of Khresili in 1757.
The same year, he forged an alliance with his kinsman, Heraclius II, who ruled in eastern Georgia.
He defeated two more Ottoman invasions (20,000 strong and 13,000 strong).
The Ottoman instigated invasion of North Caucasus tribes, one of which succeeded, while second one was thwarted.
Briefly, Ottomans took Kutaisi in 1765 and placed his cousin, Teimuraz on the throne.
In 1767, Solomon managed to stage a comeback, and freed Imereti of Turks again.
Next year, another Russo-Turkish broke out, and in May 1769, Solomon traveled to Tbilisi to meet with Heraclius II.
The two kings decided to request five Russian regiments and join the war with the Ottoman Empire in exchange of the guarantee that Georgian interests would be protected in the final Russo-Turkish peace deal.
The Russians sent a small force under General Gottlieb Heinrich Totleben, but the general's rudeness and condescension alienated the Georgians; Totleben was quickly recalled from Georgia.
After the war was over, Solomon was able to force his autonomist vassals, princes of Mingrelia and Guria, into submission, and continued antagonizing the Ottoman hegemony in the region.
Ottomans had no choice but to sign a treaty with Imereti, by which Imeterti was no longer Ottoman vassal, slave trade was not even mentioned, with symbolic tribute of 60 women annually (did not stipulate them to be Georgians, and Solomon never honored this clause anyway).
He crushed the Ottoman-sponsored insurrection in Abkhazia in 1779, and made a series of forays into the Turkish-controlled southwestern historic Georgian lands.
He died in March 1784 and was buried at the Gelati Monastery.
He was canonized by the Georgian Orthodox Church on 22 December 2016, his feast day set for 23 April (NS 10 April).
Solomon
I was married three times; first, to Princess Tinatin Shervashidze, second to Princess Mariam, daughter of Otia Dadiani
(died 1778), Prince of Mingrelia, and third, Princess Gulkan Tsulukidze (1730–1800).
He had five children, three sons and two daughters:
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.
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.
Joseph, Catholicos of Abkhazia
Joseph or Ioseb( 1739 – 13 May 1776) was a Georgian Orthodox hierarch, Metropolitan Bishop of Gelati( 1760 – 1769), and Catholicos of Abkhazia( 1769 – 1776).
He was a younger son of King Alexander V of Imereti, of the Bagrationi dynasty.
He was a major supporter of his brother, Solomon I of Imereti, in his efforts to consolidate royal authority.
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:
Prince George of Imereti
George( 1778 – 20 November 1807) was a Georgian prince of the Bagrationi house of Imereti and claimant to the crown of Imereti.
He was the ancestor of the Bagration- Imeretinsky, princes of the Russian Empire.
George was the only son of Alexander, son of Solomon I of Imereti, of his marriage with Princess Darejan née Tsulukidze, which was not authorized by the church.
Alexander had led an abortive revolt against Solomon in 1778, but then reconciled with him.
He died before his father and Solomon's death in 1784 left the issue of Imeretian succession open to rivaling claims.
George was designed as heir apparent at Solomon's death, but was prevented from being crowned by Solomon's cousin David II, who was in turn overthrown by Solomon's nephew Solomon II.
The latter arrested George as a pretender to the throne and imprisoned him at the Mukhuri castle in 1795.
George was able to escape on 15 October 1806 and fled to the Russian Empire where he spent his last years, writing memoirs of his life.
He died of smallpox at St. Petersburg and was buried there, at the St. Alexander Nevsky Convent.
George was married to Princess Darejan, of the Eristavi of Racha( 1779 – 1816), and fathered two sons – Alexander and Dimitry Bagration- Imeretinsky, both generals of the Russian army.
Darejan and her sons were deported from Imereti to Russia proper after the Russian conquest of that kingdom in 1810.
Constantine Bagrationi
Constantine Bagrationi( 1898–1978) was a Georgian royal prince(" batonishvili") of the royal Bagrationi dynasty of Imereti.
He became the head of the House of Bagrationi after the death of Prince George in 1972 and was followed by Prince Irakli Bagrationi, son of Prince Grigol, the male- line descendant of Prince Bagrat, young brother of King Solomon I of Imereti( 1752 – 1784).
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 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 Prince Alexander Of Imereti (1760–1780)?
Answer: Alexander V of Imereti