We do find these however:
Matthew 13:55 Is not this the carpenter's son? is not his mother called Mary? and his brethren, James, and Joses, and Simon, and Judas?
Jesus has "brothers" (kin) called James and Joses and Judas. Keep thisin mind.
Mark 15:40 There were also women looking on afar off: among whom was Mary Magdalene, and Mary the mother of James the less and of Joses, and Salome;
A Mary is named as the mother of James (the less, referring to the two Apostles. James son of Zebedee is James the greater) and Joses. Curiously, if this same Apostle James is Jesus's half-brother, Mary, of the virgin birth is not mentioned as Jesus's mother, but only as James and Joses's mother.
Luke 6:16 And Judas the brother of James, and Judas Iscariot, which also was the traitor.
James has a brother Judas (not Iscariot). Among Jesus' kin listed in Matt 13:55 is a James with a brother Judas. We've already seen James and Joses linked.
Luke 24:10 It was Mary Magdalene and Joanna, and Mary the mother of James, and other women that were with them, which told these things unto the apostles.
Same Mary, mother of James telling the news to the Apostles after the Resurrection. Again, curious that Jesus' mother is not identified as such here, if she is also the mother of James.
Acts 1:13 And when they were come in, they went up into an upper room, where abode both Peter, and James, and John, and Andrew, Philip, and Thomas, Bartholomew, and Matthew, James the son of Alphaeus, and Simon Zelotes, and Judas the brother of James.
11 Apostles (Iscariot missing, of course) right at the beginning of Acts. Waiting for Pentecost and selecting Matthias as a new Apostle. It would seem if some new James was to come into the picture, it would get mentioned at some point.
Jude 1:1 Jude, the servant of Jesus Christ, and brother of James, to them that are sanctified by God the Father, and preserved in Jesus Christ, and called:
Again, Jude is named as a brother of James and not a brother of Jesus Christ, though we know from Matt 13:55 that a Judas is counted among the "brothers" of Jesus and James.
So, there it is. All these references to a James who is the son of Alphaeus. It's a shame none will look at this and truly analyze it, instead you will point to me that Matt 13:55 contains the English word "brother."
SD
James is without doubt the Bishop of Jerusalem (Acts 12:17, 15:13, 21:18; Galatians 1:19; 2:9-12) and the author of the first Catholic Epistle. His identity with James the Less (Mark 15:40) and the Apostle James, the son of Alpheus (Matthew 10:3; Mark 3:18), although contested by many Protestant critics, may also be considered as certain. There is no reasonable doubt that in Galatians 1:19: "But other of the apostles [besides Cephas] I saw none, saving James the brother of the Lord", St. Paul represents James as a member of the Apostolic college. The purpose for which the statement is made, makes it clear that the "apostles" is to be taken strictly to designate the Twelve, and its truthfulness demands that the clause "saving James" be understood to mean, that in addition to Cephas, St. Paul saw another Apostle, "James the brother of the Lord" (cf. Acts 9:27). Besides, the prominence and authority of James among the Apostles (Acts 15:13; Galatians 2:9; in the latter text he is even named before Cephas) could have belonged only to one of their number. Now there were only two Apostles named James: James the son of Zebedee, and James the son of Alpheus (Matthew 10:3; Mark 3:18; Luke 6:16; Acts 1:13). The former is out of the question, since he was dead at the time of the events to which Acts 15:6 ssq., and Galatians 2:9-12 refer (cf. Acts 12:2). James "the brother of the Lord" is therefore one with James the son of Alpheus, and consequently with James the Less, the identity of these two being generally conceded. Again, on comparing John 19:25 with Matt 27:56, and Mark 15:40 (cf. Mark 15:47; 16:1), we find that Mary of Cleophas, or more correctly Clopas (Klopas), the sister of Mary the Mother of Christ, is the same as Mary the mother of James the Less and of Joseph, or Joses. As married women are not distinguished by the addition of their father's name, Mary of Clopas must be the wife of Clopas, and not his daughter, as has been maintained. Moreover, the names of her sons and the order in which they are given, no doubt the order of seniority, warrant us in identifying these sons with James and Joseph, or Joses, the "brethren" of the Lord. The existence among the early followers of Christ of two sets of brothers having the same names in the order of age, is not likely, and cannot be assumed without proof. Once this identity is conceded, the conclusion cannot well be avoided that Clopas and Alpheus are one person, even if the two names are quite distinct. It is, however, highly probable, and commonly admitted, that Clopas and Alpheus are merely different transcriptions of the same Aramaic word Halphai. James and Joseph the "brethren" of the Lord are thus the sons of Alpheus.
Also see
I want to know about the 500 brethren.