Source : Webster's Revised Unabridged Dictionary (1913)

Faubourg \Fau`bourg"\, n. [F.]
   A suburb of French city; also, a district now within a city,
   but formerly without its walls.

Source : WordNet®

faubourg
     n : a New Orleans district lying outside the original city
         limits; used in combination with the names of various
         quarters of the city; "in Faubourg Sainte Marie"