I don't know if you agree with the following discusssion/comments:
Scripture is silent concerning the "appointment" of James, the Lord's brother, as an Apostle.
Silent on appointment yes, selection no.
Galations 1: [19] But I saw none of the other apostles except James the Lord's brother.
This was 3 years, not 14 years after the conversion of Paul, so this was one of the orignal Apostles James the son of Alpheus
James, the brother of the Lord, son of Alpheus, was one of the original Apostles. Selected by Christ.
Many questions are left unexplained by this interpretation.
John 7
1* After this Jesus went about in Galilee; he would not go about in Judea, because the Jews * sought to kill him.
2* Now the Jews' feast of Tabernacles was at hand.
3* So his brothers said to him, "Leave here and go to Judea, that your disciples may see the works you are doing.
4 For no man works in secret if he seeks to be known openly. If you do these things, show yourself to the world."
5 For even his brothers did not believe in him.
Are you suggesting that Apostle "brother" James did not believe in Him?
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Acts 1:
[13] and when they had entered, they went up to the upper room, where they were staying, Peter and John and James and Andrew, Philip and Thomas, Bartholomew and Matthew, James the son of Alphaeus and Simon the Zealot and Judas the son of James.
[14] All these with one accord devoted themselves to prayer, together with the women and Mary the mother of Jesus, and with his brothers.
A different set of brothers?
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A few Church Fathers:
Clement, the bishop of Alexandria (150 - 215 CE), who confirms in Outlines, Bk. VI: "Peter, James (bar Zebedee) and John, after the ascension of the Saviour, did not claim pre-eminence because the Saviour had especially honored them, but chose James the Righteous as Bishop of Jerusalem."
Eusebius (263 - 339 CE), Historia Ecclesia ii,23.4: ".....turned their attention to James, the Lord's brother, who had been elected by the apostles to the episcopal throne at Jerusalem."
Hegesippus (c. 100 - 160 CE), Bk 5: "Control of the Church passed to the Apostles, together with the Lord's brother James...."
Origen (185 - 254 CE), quoting early Josephus: "These things happened to the Jews in requital for James the Righteous, who was a brother of Jesus, known as Christ."
Josephus (37 - c. 100 CE), Antiquities xx: "So he assembled a counsel of judges and brought before it James, the brother of Jesus, known as Christ."
Clement: "When James the Righteous had suffered martyrdom like the Lord and for the same reason, Symeon, the son of his Uncle Clopas, was appointed bishop. He being a cousin of the Lord."
Eusebius: "A group of heretics accused the descendants of Jude...the brother, humanly speaking, of the Savior...on the ground that they were of David's line and related to Christ himself."
James, The Lord's Brother