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.
Guillaume Wittouck
Guillaume Wittouck( 1749- 1829) was a Belgian lawyer and High Magistrate.
He was the Grandfather of industrialist Paul Wittouck.
Abd al-Muttalib
Abd al- Muttalib Shaybah ibn Hashim( c. 497 – 578) was the grandfather of Islamic prophet Muhammad.
Áed mac Dlúthaig
Áed mac Dlúthaig( died 701) was a King of Fir Cúl in Brega of the Síl n Dlúthaig sept of the Síl n Áedo Sláine of Brega.
He was the grandson of Ailill Cruitire mac Áedo Sláine( died 634), a king of Brega.
Lyon Cohen
Lyon Cohen( 1868–1937) was a Polish- born Canadian businessman and a philanthropist.
He was the grandfather of singer/ poet Leonard Cohen.
Áed Sláine
Áed mac Diarmato (died 604), called Áed Sláine (Áed of Slane), was the son of Diarmait mac Cerbaill.
Legendary stories exist of Áed's birth.
Saint Columba is said to have prophesied his death.
His descendants, the Síl nÁedo Sláine—the seed of Áed of Slane—were prominent in 7th and early 8th century Ireland.
John Westley
Rev. John Westley( 1636 – 78) was an English nonconformist minister.
He was the grandfather of John Wesley( founder of Methodism).
Fujiwara no Nagara
, also known as Fujiwara no Nagayoshi, was a Japanese statesman, courtier and politician of the early Heian period.
He was the grandfather of Emperor Yōzei.
Prithvipati Shah
Prithvipati Shah( ?–1716) was the king of the Gorkha Kingdom in the Indian subcontinent, present- day Nepal.
He was the grandfather of Nara Bhupal Shah.
Ailill Cruitire
Ailill Cruitire mac Áedo Sláine (died 634) was a King of Brega from the Síl nÁedo Sláine branch of the southern Ui Neill.
He was the son of the high king Áed Sláine mac Diarmato (died 604).
His byname meant "harper".
The exact date of his accession to Brega is not mentioned in the annals.
He was contemporary to his brother Congal mac Áedo Sláine, who was called King of Brega in the annals, whereas Ailill was not.
The annals mention that in 634 Ailill and his brother Congal were defeated and slain at the Battle of Loch Trethin at Fremainn (Loch Drethin at Frewin Hill, County Westmeath) by the same Conall Guthbinn of the Clann Cholmáin who had slain their father.
Congal is recorded as king of Brega in the annals regarding this event, Ailill is not.
A poem in the "Book of Leinster", however, claims that Ailill was slain at the Battle of Áth Goan in western Liffey during a Leinster civil war in 633.
The victor was again Conall Guthbinn and his ally Fáelán mac Colmáin (died 666?) of the Uí Dúnlainge.
Ailill's son Dlúthach was ancestor of the Síl nDlúthaig sept, or as Fir Cúl Breg, men of the churches of Brega.
His grandson Áed mac Dlúthaig (died 701) was a king of Fir Cúl.

Question: Who is the paternal grandfather of Ailill Cruitire?
Answer: Diarmait mac Cerbaill