I do not know who her parents are, but I also show her as using Arnaud and Armand. The name Armand is sometimes a corruption of St. Amant in Louisiana, so you might want to look there.
The book Pointe Coupee History by Judy Riffel claims that Godefroi Decuir, born May 12, 1777, died July 28, 1830 in St. Martin Parish, was never married. There was a Godfroi Decuir in LeDoux's company of Cavalry, which was actively called into service during the Battle of New Orleans. I don't know if it is the same guy though.