Is this the same song? It's done live at the Brandywine Festival in July 1977.

http://www.npmusic.org/Balfa_Brothers%20_Dont_Cry_My_Beautiful_Blue_Eyes.mp3

On this JSP 4-CD compilation there is the Hackberry Ramblers' version. From the notes, it was recorded in New-Orleans in 1935. I can email it to you if you need it (but they sing it in English).

http://www.amazon.com/CAJUN-Rare-Authentic-Various-Artists/dp/B001FY7BD4

Cristian, I would be interested in that one, but alas i haven't got the time to dive further into the matter right now: quite busy with gigs & studio stuff.
- I have the Eddie Lejeune CD, but i am mostly interested in old time country versions like the Carter Family one. Thanks, Nout

Here's the Cleoma Falcon version:

http://www.npmusic.org/Joe_Falcon_Cleoma_Breaux_Falcon_Bonnie_Blue_Eyes.mp3