Question: What countries were ruled by the same person whose illiegitimate son became Duke of Richmond?

Context articles: James Hamilton, 5th Duke of Abercorn
Duke of Lennox
Godfrey III, Duke of Lower Lorraine
Duke of Richmond and Lennox
House of Chikovani
Charles II of England
Henry, son of Robert I of Burgundy
Maria van Arkel
Gothelo I, Duke of Lorraine
Mentuhotep (god's father)

James Hamilton, 5th Duke of Abercorn, {'1': ", '2': ", '3': ", '4': "} (born 4 July 1934) is a British nobleman, peer, and politician.
 He became Duke of Abercorn in the Peerage of Ireland on the death of his father in June 1979.
 He was the son of James Edward Hamilton, 4th Duke of Abercorn, and Lady Mary Crichton (daughter of Lt.-Col.
 Henry William Crichton, Viscount Crichton (1872–1914), eldest son of John Crichton, 4th Earl Erne).
 He is a former politician and Lord Steward of the Household.
The title Duke of Lennox has been created several times in the Peerage of Scotland, for Clan Stewart of Darnley.
 The Dukedom, named for the district of Lennox in Stirling, was first created in 1581, and had formerly been the Earldom of Lennox.
 The second Duke was made Duke of Richmond; at his death, the dukedom of Richmond became extinct.
 The fourth Duke of Lennox was also created Duke of Richmond; at the death of the sixth Duke, both the dukedoms became extinct.
 The Dukedom of Richmond and one month later that of Lennox were created in 1675 for Charles Lennox, an illegitimate son of Charles II.
 The Duke of Richmond and Lennox was created Duke of Gordon in 1876.
 Thus, the Duke holds four dukedoms (including Aubigny-sur-Nère), more than any other person in the realm.
Godfrey III (  997 –1069), called the Bearded, was the eldest son of Gothelo I, Duke of Upper and Lower Lorraine.
 By inheritance, he was Count of Verdun and he became Margrave of Antwerp as a vassal of the Duke of Lower Lorraine.
 The Holy Roman Emperor Henry III authorized him to succeed his father as Duke of Upper Lorraine in 1044, but refused him the ducal title in Lower Lorraine, for he feared the power of a united duchy.
 Instead Henry threatened to appoint a younger son, Gothelo, as Duke in Lower Lorraine.
 At a much later date, Godfrey became Duke of Lower Lorraine, but he had lost the upper duchy by that point in time.
The Dukedoms of Richmond (in the peerage of England) and of Lennox (in the peerage of Scotland) have usually been held by the same person since 1623.
 In 1675, King Charles II created his illegitimate son Charles Lennox Duke of Richmond (created on 9 August 1675) and Duke of Lennox (created on 9 September 1675), and the two Dukedoms have since been held concurrently by Lennox's descendants.
 Since 1734 he has also held the Dukedom of Aubigny (in the peerage of France).
 Since 1876 he has also held the Dukedom of Gordon (in the peerage of the United Kingdom).
The House of Chikovani (Georgian: ჩიქოვანი ) is a Georgian princely ("mtavari") house.
 Dukes of Chikovani ruled a historic province, Lechkhumi in northwestern Georgia.
 At the end of the 17th century, General Katso Chikovani became influent in Mingrelia, a western Georgian principality.
 After him, his son became the ruler and assumed the dynastic name of Dadiani.
Charles II (29 May 1630 – 6 February 1685) was king of England, Scotland and Ireland.
 He was king of Scotland from 1649 until his deposition in 1651, and king of England, Scotland and Ireland from the restoration of the monarchy in 1660 until his death.
Henry of Burgundy (c. 1035 – January 27, 1070/1074), called the Gallant ("le Damoiseau"), was the eldest surviving son and heir of Robert I, Duke of Burgundy and his wife, Helie of Semur, and a grandson of King Robert II of France, thus making him a member of the House of Capet through its Burgundy cadet branch.
 Little is known about his life and he died shortly before his father, and thus was never duke himself.
 Two of his sons became dukes in succession after his father's death, while a third son became Count of Portugal through his marriage to Theresa, daughter of King Alfonso VI of León and Castile.
Maria van Arkel (c. 1385 – 19 July 1415) was the only daughter and heiress of Lord John V of Arkel and Joanna of Jülich.
 She inherited the title to Gelderland from her maternal uncle, Duke Reginald IV, and her son became Arnold, Duke of Gelderland.
 She was the paternal grandmother of Mary of Guelders, who became Queen of Scots.
Gothelo (or Gozelo) (  967 – 19 April 1044), called the Great, was the duke of Lower Lorraine from 1023 and of Upper Lorraine from 1033.
 He was also the margrave of Antwerp from 1005 (or 1008) and count of Verdun.
 Gothelo was the youngest son of Godfrey I, Count of Verdun, and Matilda Billung, daughter of Herman, Duke of Saxony.
 On his father's death, he received the march of Antwerp and became a vassal of his brother, Godfrey II, who became duke of Lower Lorraine in 1012.
 He succeeded his brother in 1023 with the support of the Emperor Henry II, but was opposed until Conrad II forced the rebels to submit in 1025.
 When the House of Bar, which ruled in Upper Lorraine, became extinct in 1033, with the death of his cousin Frederick III, Conrad made him duke of both duchies, so that he could assist in the defence of the territory against Odo II, count of Blois, Meaux, Chartres, and Troyes (the later Champagne).
Mentuhotep was the non-royal father of the Ancient Egyptian king Sobekhotep III who ruled for about three years in the Thirteenth Dynasty, around 1750 BC.
 Mentuhotep is mainly known from monuments of his son while he was king.
 On these monuments appears also his wife Iuhetibu, who was called "king's mother".
 On the monuments relating to Sobekhotep III, Mentuhotep bears the title "god's father".
 The latter title is often given to non-royal fathers of kings.
 Furthermore, from a high number of scarab seals there is known a military official with the title "commander of the ruler's crew".
 This official had a son with the same title named Sobekhotep.
 It seems possible that these scarabs belong to the "god's father" Mentuhotep before his son became king.
 It is not known under which circumstances Sobekhotep III became king.
 However, his father Mentuhotep had no known royal connections.
 Two further sons are known, Seneb and Khakau.
 They were bearing the title "king's son", albeit being evidently not the son of a king, but brothers of one.