Go to separate left and right double quote special characters.

" works in HTML, but LaTeX was using right double quotes everywhere.

Session/InconnuDeLimoise.abc

@@ -1,6 +1,6 @@
 X: 1
 T: Inconnu de Limoise, L'
-C: Jean-Fran\,cois \'"Maxou\'" Heintzen
+C: Jean-Fran\,cois \'`Maxou\'" Heintzen
 M: 3/4
 L: 1/8
 Q: 1/4=104

abcfield.py

@@ -103,7 +103,8 @@ accentedletters = {
 
     # Quote marks
     "''" : ("'", "'"),
-    "'\"" : (""", "\""),
+    "'`" : ("“", "``"),
+    "'\"" : ("”", "''"),
 }
 
 abckeys = {