I elaborated in
post #89 on how the hellenized Hebrew term "Ebionite" (Ebionai) was first applied by Irenaeus in the [late] 2nd century i.e. how we don't even see or hear anything about the term until a century later! and what the ties are!
Adv. Haereses III.21.1, says:
1. "God, then, was made man, and the Lord did Himself save us, giving us the token of the Virgin. But not as some allege, among those now presuming to expound the Scripture, [thus:] "Behold, a young woman shall conceive, and bring forth a son" (Isaiah 7:14) as Theodotion the Ephesian has interpreted, and Aquila of Pontus, both Jewish proselytes. The Ebionites, following these, assert that He was begotten by Joseph; thus destroying, as far as in them lies, such a marvellous dispensation of God, and setting aside the testimony of the prophets which proceeded from God.
Note "The Ebionites, following these" i.e. 'Theodotion the Ephesian' and 'Aquila of Pontus', 'both Jewish proselytes'. Note that Ephesus and Pontus are well away from Galilee or Jerusalem i.e. well away from 'James'.
You cited an
Introductory Notice to the PSEUDO-CLEMENTINE LITERATURE
'(1) The entire literature is of Jewish-Christian, or Ebionitic, origin. The position accorded to “James, the Lord’s brother,” in all the writings, is a clear indication of this ...
More particularly, the literature has been connected with the Ebionite sect called the Elkesaites; and some regard the Homilies as containing a further development of their system.6 This is not definitely established, but finds some support in the resemblance between the baptismal forms, as given by Hippolytus in the case of the Elkesaites,7 and those indicated in the Recognitions and Homilies, especially the latter."
Note
"(2) The entire literature belongs to the class of fictitious writing 'with a purpose'."