[Campion]

According to the Catholic Encyclopedia article on St. James the Less, the appellation "James the Just" comes from Hegesippus, quoted in Eusebius, History, book II. Eusebius doesn't use the appellation "James the Less"; he calls "James the Just" the "brother of the Lord" and "bishop of Jerusalem".

He only mentions two men named James (the other is James the Greater, son of Zebedee). Eusebius (but not Hegesippus) identifies James the Just as a "son of Joseph," I believe erroneously. James the son of Alphaeus just falls off Eusebius' radar screen. (Eusebius does not claim that James was the son of blessed Mary, only the son of Joseph.)

[Campion]

James the son of Alphaeus just falls off Eusebius' radar screen.

I should add that I obviously believe that that's because James the son of Alphaeus and James the Just were the same man.

[ET(end tyranny)]

According to the Catholic Encyclopedia article on St. James the Less, the appellation "James the Just" comes from Hegesippus, quoted in Eusebius, History, book II. Eusebius doesn't use the appellation "James the Less"; he calls "James the Just" the "brother of the Lord" and "bishop of Jerusalem".

Correct, which is why I asked if there were any supporting evidence that James the Less and James the Just are one in the same. Looks like there isn't, thus far.

He only mentions two men named James (the other is James the Greater, son of Zebedee). Eusebius (but not Hegesippus) identifies James the Just as a "son of Joseph,"

I believe erroneously.

That may be, but then again Eusebius may be right.