Adolf I of Lotharingia
Adolf I of Lotharingia, count of Keldachgau, Vogt of Deutz from 1008 until 1018, was the son of Hermann I" Pusillus"( the Little Pfalzgraf), count palatine of Lotharingia.
He left three sons:
Lothair II
Lothair II (835 –) was the king of Lotharingia from 855 until his death.
He was the second son of Emperor Lothair I and Ermengarde of Tours.
He was married to Teutberga (died 875), daughter of Boso the Elder.
Waldrada of Lotharingia
Waldrada was the mistress, and later the wife, of Lothair II of Lotharingia.
Ermengarde of Tours
Ermengarde of Tours (d. 20 March 851) was the daughter of Hugh of Tours, a member of the Etichonen family.
In October 821 in Thionville, she married the Carolingian Emperor Lothair I of the Franks (795–855).
In 849, two years before her death, she made a donation to the abbey Erstein in the Elsass, in which she is buried.
Lothair and Ermengarde had eight children:
Henry Krause
Henry J." Red" Krause, Jr.( August 28, 1913 – February 20, 1987) was an American football offensive lineman in the National Football League for the Brooklyn Dodgers and the Washington Redskins.
He played college football at St. Louis University.
He is the grandfather of Jennifer Krause
He is the great grandfather of Payton Hoeing
Lambert, Margrave of Tuscany
Lambert( died after 938) was the second son of Adalbert II of Tuscany and Bertha, daughter of Lothair II of Lotharingia.
He succeeded his elder brother, Guy, as count and duke of Lucca and margrave of Tuscany on his death in 928 or 929 without heirs.
In 931, before 17 October, Hugh, King of Italy, disowned and removed Lambert, giving Tuscany and the familial possession of Lucca to his brother Boso.
Hugh was Guy and Lambert's half- brother, as they had the same mother.
When Guy died, Hugh married Guy's widow, Marozia.
Bertha, daughter of Lothair II
Bertha( 863- 8 – March 925 in Lucca) was countess of Arles by marriage to Theobald of Arles, and margravine of Tuccany by marriage to Adalbert II of Tuscany.
She served as regent of Lucca and Tuscany from 915 until 916 during the minority of her son Guy of Tuscany.
She was described as beautiful, spirited, and courageous, and her influence over her spouse was, coupled with ambition, attributed to have involved her husbands in many wars.
She was the second illegitimate daughter of Lothair II, King of Lotharingia, by his concubine Waldrada.
Theobald of Arles
Theobald( c. 854-895), count of Arles, was a Frank from the Bosonid- family.
He was a son of Hucbert and married Bertha, an illegitimate daughter of Lothair II, King of Lotharingia, who was renowned for her beauty and spirit.
They had two sons Hugh of Italy and Boso of Tuscany.
Kaya Alp
Kaya Alp was, according to Ottoman tradition, the son of Kızıl Buğa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertuğrul, and the great grandfather of the Ottoman Empire founder, Osman I.
Teutberga
Teutberga( died 11 November 875) was a queen of Lotharingia by marriage to Lothair II.
She was a daughter of Bosonid Boso the Elder and sister of Hucbert, the lay- abbot of St. Maurice's Abbey.

Question: Who is Lothair Ii's maternal grandfather?
Answer: Hugh of Tours