Salam
I found the chain of Shah Waliullah for Hanafi fiqh in the second of volume of his Al-Intibah fi Salasil al-Awliyah, also called Ithaf al-Nabih (p.281):
“As for the madhab of Imam Abu Hanifah (Allah have mercy on him) I gained knowledge of it by reading the whole of the Hidayah by means of an in depth study with my master, my father Shaykh Abd al-Rahim except for a small part from the book of Kafalah and Wakalah and that which is between them both. And by the reading of a large part from the ‘Sharh al-Wiqayah’ of Sadr al-Shariah. A portion of ‘al-Tawdih wal-Talwih’ and a large part from ‘Al-Kanz’ of Abul Barakat al-Nasafi, and the book of ‘Al-Husami’ in the principles of fiqh, from its beginning to its end with my master, my father from Mir Zahid from Mulla Fadil with his chain.”
[Note} Shah Waliullah mentioned in ‘Al-Qawl al-Jamil’ (p.119):
“My master, my father, read the smaller works with his brother Abul Rida Muhammad, and the larger ones with Mir Zahid
from Mirza Fadil,
from Mulla Yusuf al-Kawsaj,
from Mirza Jan and others,
from the verfiying scholar al-Duwani
from his father Asad and others
from the students of al-Taftazani and Sharif al-Jurjani.
***
And by ijazah from Shaykh Abu Tahir for the Hidayah
from his father
from al-Qashashi
from al-Shinawi
from Abd al-Rahman bin Abd al-Qadir bin Fahd
from his uncle Jarullah Ibn Fahd
from the Mufti Siraj al-Din Umar bin Abd al-Rahim al-Qahiri then al-Madini
from Allamah Majd al-Din Muhammad bin Abdullah bin Muhammad al-Zarandi al-Madani al-Hanafi
from the Shaykh of the Hanafi’s Imam Amin al-Din Yahya bin Muhammad bin Ibrahim al-Hanafi al-Aqsarai al-Qahiri
from the chief judge Zayn al-Din Abu Bakr bin al-Hussain al-Uthmani al-Maraghi
from al-Hafidh Alamuddin al-Qasim bin Muhammad bin Yusuf al-Barzali1
from Imam Muzaffar al-Din Ahmad bin Ali al-Sa’ati al-Hanafi2
from Imam Zaheer al-Din Muhammad bin Umar bin Muhammad al-Bukhari al-Nawjabadhi3
from Shams al-Aimmah Muhammad bin Abd al-Sattar al-Kurdi
from its author Imam Burhan al-Din Ali bin Abi Bakr al-Farghani al-Marghinani4…
Then Shaykh Burhan al-Din Ali bin Abi Bakr al-Marghinani the author of ‘Al-Hidayah’ took fiqh from Sadr al-Shahid Hussam al-Din Umar5bin Abd al-Aziz bin Umar bin Bazah6
from his father Burhan al-Aimmah abd al-Aziz7 bin Umar bin Bazah
from Shams al-Aimmah Abu Bakr Muhammad bin Ahmad bin Sahl al-Sarakhsi8
from Shams al-Aimmah Abd al-Aziz bin Ahmad al-Halwani9
from Qadi Abu Ali al-Hussain al-Nasafi
from Imam Muhammad bin al-Fadl al-Bukhari
from Abdullah bin Muhammad al-Subadhmuni
from Abu Abdullah bin Abi Hafs
from his father Abu Hafs al-Kabir
from Imam Muhammad bin al-Hasan
from Abu Hanifah
and also from Abu Yusuf from Abu Hanifah.”
1Al-Shafi. The Muhaddith of al-Shaam and author of ‘Tarikh al-Kabir’. He passed away in the year 739 Hijri. (Shadharat al-Dhahab 6/122)
2Al-Balbaki al-Baghdadi. He passed away in the year 694 Hijri. (Al-Fawaid p.27)
3The Hanafi jurist of the seventh Islamic century (Al-Fawaid p.183)
4From the major Hanafi jurists, his fame does not require that he be described. He passed away in the year 593 Hijri. (Al-Fawaid p.143)
5Abu Muhammad. He was from the notable Hanafi jurists. He was martyred in the year 536 Hijri. (Al-Fawaid p.139)
6And in ‘Al-Fawaid’ (p.98, 139) it is written as “Mazah” it also like this in ‘al-Jawahir’ (1/320), and Allah knows best.
7He is mentioned in ‘al-Jawahir’ (1/320) and ‘al-Fawaid’ (p.98) but the date of his passing away is not mentioned.
8Al-Hanafi, he was an Imam, a most learned scholar, skilled theologian and debater. He passed away in the year 438 Hijri. (al-Fawaid p.158-159)
9Al-Bukhari al-Hanafi, he passed away in the year 448 hijri (al-Jawahir 1/318, al-Fawaid p.95)