I will just give one for now, one Eusebius from third century and fourth century as he writes of the historical tradition passed down in the church:
Eusebius (c260-c340), bishop of Caesarea, was also known as the Father of Church History. His book History of the Church is one of the major sources of the history of early Christianity. Eusebius had access to many early documents no longer extant today. Thus his magnum opus is a valuable resource for historians interested in early Christianity.
Let us begin by looking at Eusebius’ citations for James’ ascension to the leadership of the Jerusalem Church:
History of the Church 2:1:2
Then James, whom the ancients surnamed the Just on account of the excellence of his virtue, is recorded to have been the first to be made bishop of the church of Jerusalem. This James was called the brother of the Lord…
History of the Church 3:5:2
…James, the first that had obtained the episcopal seat in Jerusalem after the ascension of our Saviour…
History of the Church 2:23:4
[Quoting Hegesippus (c110-180)] “James, the brother of the Lord, succeeded to the government of the Church in conjunction with the apostles. He has been called the Just by all from the time of our Saviour to the present day; for there were many that bore the name of James.”
History of the Church 2:23:1
…James, the brother of the Lord, to whom the episcopal seat at Jerusalem had been entrusted by the apostles…
History of the Church 7:19
The chair of James, who first received the episcopate of the church at Jerusalem from the Saviour himself and the apostles, and who, as the divine records show, was called a brother of Christ, has been preserved until now…
History of the Church 2:1:3-4
(2:1:3) But Clement [c160-215] in the sixth book of his Hypotyposes writes thus: “For they say that Peter and James and John after the ascension of our Saviour, as if also preferred by our Lord, strove not after honor, but chose James the Just bishop of Jerusalem.”
(2:1:4) But the same writer, in the seventh book of the same work, relates also the following things concerning him: “The Lord after his resurrection imparted knowledge to James the Just and to John and Peter, and they imparted it to the rest of the apostles, and the rest of the apostles to the seventy, of whom Barnabas was one. But there were two Jameses: one called the Just, who was thrown from the pinnacle of the temple and was beaten to death with a club by a fuller, and another who was beheaded.”[15]