[El Gato]

Based on language, there was no reason to add born to either document

Apparently there is. Otherwise why would a modern day translation program, which surely knows nothing of English common law, translate "natural-born citizen" as " les citoyens naturels" ?

[Mr Rogers]

Beats me. It doesn’t here:

http://translate.google.com/#auto|en|les%20citoyens%20naturels

In reverse, it translates natural-born citizen as “citoyen-né” - “citizen baby”.