I am looking for an authoritative online source that gives the original text by Bertrand Russell describing his Barber Paradox.
Quine described it like this:
In a certain village there is a man, so the paradox runs, who is a barber; this barber shaves all and only those men in the village who do not shave themselves. Query: Does the barber shave himself?
I believe he first used this language in his essay "The philosophy of logical atomism" (page $101$). He attributes this to an unnamed individual.
The text around this description is interesting, particularly the line
I think what Russell means here is that it is clear that there is no such barber, and this conclusion is in no way problematic. By contrast, the version about classes is much more disturbing, since (he argues)
Although the logical forms are the same, the barber version doesn't force us to draw any interesting conclusions, whereas the "pure" forms do.