We found out the other day (after spending time on it with a magnifying glass) that the artist IS identified on the Paris and Oenone engraving!
The original painter: Angelica Kauffman
The engraver: Francesco Bartolozzi
We found that this engraving dates back to the late 18th century, so there is no way that the Binyon 1906 play was a factor in its creation. BUT since the 1906 play is based on Quintus Smyrnaeus’s Posthomerica, book X.259-489 (4th century C.E.), the story of what happened between Paris and Oenone after Ovid's letter by Oenone still stands.
Just wanted to clarify that.
Just in case you're interested:
Info on Angelica Kauffman: Biography Base
Info on Francesco Bartolozzi: Art of the Print