One of the definitions of the word "ἀδελφός" (adelphos) is "kinsman:"
And the definition "kinsman" is the one that applies to the relationship between Simon, Joseph, James, Jude (Judas), and Jesus for the following reasons:
I. "Mary the wife of Cleophas or Alphaeus, who was the mother of James the bishop and apostle, and of Simon and Thaddeus, and of one Joseph." (Papias of Hierapolis [c. 60–130 AD], Λογίων Κυριακῶν Ἐξήγησις: Frag. 10, cf. Jn. 19:25)
II. "...James, who is called the brother of the Lord ... as appears to me, the son of Mary sister of the mother of our Lord ... after ordained by the apostles bishop of Jerusalem, wrote a single epistle, which is reckoned among the seven Catholic epistles" and "...Mary who is described as the mother of James the Less was the wife of Alphaeus and sister of Mary the Lord's mother" (Jerome of Stridon [c. 347–420 CE], De Viris Illustribus, De Perpetua Uirginitate Beatae Mariae, cf. Jn. 19:25)
III. Eusebius of Caesarea [c. 260–340 AD] relates the following in his Historia Ecclesiastica:
James, the brother of the Lord, was the "...author of the first of the so-called catholic epistles" and that while it is disputed, "as is the case likewise with the epistle that bears the name of Jude, which is also one of the seven so-called catholic epistles," it is known they have been "...read publicly in very many churches." (Bk. I, ch. 23)
"James ... surnamed the Just ... bishop of the church of Jerusalem. This James was called the brother of the Lord..." and "Paul also makes mention of the same James the Just, where he writes, 'Other of the apostles saw I none, save James the Lord's brother.'" (Bk. II, ch. 1)
"...those of the apostles and disciples of the Lord ... with those that were related to the Lord according to the flesh ... pronounced Symeon (Simon), the son of Clopas ... to be worthy of the episcopal throne of that parish. He was a cousin, as they say, of the Saviour. For Hegesippus records that Clopas was a brother of Joseph." (Bk. III, ch. 11)
"...James the Just bishop of Jerusalem" and "...but there were two Jameses: one called the Just ... thrown from the pinnacle of the temple ... and beaten to death with a club by a fuller, and another who was beheaded." (Bk. II, ch. 1) (Clement of Alexandria [c. 150–215 AD], Hypotyposes, Bk. VII, cf. Ac. 12:1-2)
"...James the brother of the Lord, succeeded to the government of the Church ... called the Just ..." (Bk. II, ch. 23) and "after James the Just had suffered martyrdom ... Symeon (Simon), the son of the Lord's uncle, Clopas, was appointed the next bishop ... because he was a cousin of the Lord." (Bk. III, ch. 22) (Hegesippus [c. 110-180 AD], Hypomnemata)
The scriptural verses in the OP and testimonials of prominent early Christians above illustrate "James" in Mt. 13:55/Mk. 6:3, "James the brother of the Lord," "Apostle James of Alphaeus," "James the Bishop of Jerusalem," "James the Less," "James the Just," and the author of the Epistle of James were the same, and that he, Simon, Joseph, and Jude (Judas) were sons of Josephs' brother [sibling], Alphaeus (Cleophas/Clopas), and Mary of Josephs' sister-in-law, Mary of Cleophas/Clopas, and thus Jesus' brothers, as in "kinsmen," specifically cousins. This disproves the teaching that states they were Jesus' step-brothers and undermines the teaching that states they were half-brothers.
"εἱστήκεισαν δὲ παρὰ τῷ σταυρῷ τοῦ Ἰησοῦ ἡ μήτηρ αὐτοῦ καὶ ἡ ἀδελφὴ (adelphe) τῆς μητρὸς αὐτοῦ, Μαρία ἡ τοῦ Κλωπᾶ καὶ Μαρία ἡ Μαγδαληνή" (Now there stood by the cross of Jesus, his mother, and his mother's sister, Mary of Cleophas, and Mary Magdalene). (Jn. 19:25)
You shouldn't call Mary of Cleophas/Clopas a "sister-in-law" if you stand by saying, "...adelphe: 1. a full, own sister 2. one connected by the tie of the Christian religion" because the latter means she could've only been Mary of Joseph's sibling or a fellow believer and not anything else, including a sister-in-law, etc.
In Lk. 1:36 the word "συγγενίς" (syngeneís) was used, and its definitions are "kinsman," or "kinswoman," e.g., aunt, cousin, etc., and "fellow countryman." You didn't explain where your belief Elizabeth was Mary of Joseph's kin, specifically Her aunt, stems from.
And the definition "kinsman" is the one that applies to the relationship between Simon, Joseph, James, Jude (Judas), and Jesus for the following reasons:
I. "Mary the wife of Cleophas or Alphaeus, who was the mother of James the bishop and apostle, and of Simon and Thaddeus, and of one Joseph." (Papias of Hierapolis [c. 60–130 AD], Λογίων Κυριακῶν Ἐξήγησις: Frag. 10, cf. Jn. 19:25)
II. "...James, who is called the brother of the Lord ... as appears to me, the son of Mary sister of the mother of our Lord ... after ordained by the apostles bishop of Jerusalem, wrote a single epistle, which is reckoned among the seven Catholic epistles" and "...Mary who is described as the mother of James the Less was the wife of Alphaeus and sister of Mary the Lord's mother" (Jerome of Stridon [c. 347–420 CE], De Viris Illustribus, De Perpetua Uirginitate Beatae Mariae, cf. Jn. 19:25)
III. Eusebius of Caesarea [c. 260–340 AD] relates the following in his Historia Ecclesiastica:
James, the brother of the Lord, was the "...author of the first of the so-called catholic epistles" and that while it is disputed, "as is the case likewise with the epistle that bears the name of Jude, which is also one of the seven so-called catholic epistles," it is known they have been "...read publicly in very many churches." (Bk. I, ch. 23)
"James ... surnamed the Just ... bishop of the church of Jerusalem. This James was called the brother of the Lord..." and "Paul also makes mention of the same James the Just, where he writes, 'Other of the apostles saw I none, save James the Lord's brother.'" (Bk. II, ch. 1)
"...those of the apostles and disciples of the Lord ... with those that were related to the Lord according to the flesh ... pronounced Symeon (Simon), the son of Clopas ... to be worthy of the episcopal throne of that parish. He was a cousin, as they say, of the Saviour. For Hegesippus records that Clopas was a brother of Joseph." (Bk. III, ch. 11)
"...James the Just bishop of Jerusalem" and "...but there were two Jameses: one called the Just ... thrown from the pinnacle of the temple ... and beaten to death with a club by a fuller, and another who was beheaded." (Bk. II, ch. 1) (Clement of Alexandria [c. 150–215 AD], Hypotyposes, Bk. VII, cf. Ac. 12:1-2)
"...James the brother of the Lord, succeeded to the government of the Church ... called the Just ..." (Bk. II, ch. 23) and "after James the Just had suffered martyrdom ... Symeon (Simon), the son of the Lord's uncle, Clopas, was appointed the next bishop ... because he was a cousin of the Lord." (Bk. III, ch. 22) (Hegesippus [c. 110-180 AD], Hypomnemata)
The scriptural verses in the OP and testimonials of prominent early Christians above illustrate "James" in Mt. 13:55/Mk. 6:3, "James the brother of the Lord," "Apostle James of Alphaeus," "James the Bishop of Jerusalem," "James the Less," "James the Just," and the author of the Epistle of James were the same, and that he, Simon, Joseph, and Jude (Judas) were sons of Josephs' brother [sibling], Alphaeus (Cleophas/Clopas), and Mary of Josephs' sister-in-law, Mary of Cleophas/Clopas, and thus Jesus' brothers, as in "kinsmen," specifically cousins. This disproves the teaching that states they were Jesus' step-brothers and undermines the teaching that states they were half-brothers.
As for John 19: 25 Now there stood by the cross of Jesus his mother, and his mother's sister, Mary the wife of Cleophas, and Mary Magdalene.
...Mary of Cleophas ... was Mary's sister in law
"εἱστήκεισαν δὲ παρὰ τῷ σταυρῷ τοῦ Ἰησοῦ ἡ μήτηρ αὐτοῦ καὶ ἡ ἀδελφὴ (adelphe) τῆς μητρὸς αὐτοῦ, Μαρία ἡ τοῦ Κλωπᾶ καὶ Μαρία ἡ Μαγδαληνή" (Now there stood by the cross of Jesus, his mother, and his mother's sister, Mary of Cleophas, and Mary Magdalene). (Jn. 19:25)
You shouldn't call Mary of Cleophas/Clopas a "sister-in-law" if you stand by saying, "...adelphe: 1. a full, own sister 2. one connected by the tie of the Christian religion" because the latter means she could've only been Mary of Joseph's sibling or a fellow believer and not anything else, including a sister-in-law, etc.
...Mary,'s cousin Elizabeth
I should have said aunt. My bad there.
In Lk. 1:36 the word "συγγενίς" (syngeneís) was used, and its definitions are "kinsman," or "kinswoman," e.g., aunt, cousin, etc., and "fellow countryman." You didn't explain where your belief Elizabeth was Mary of Joseph's kin, specifically Her aunt, stems from.