My mother had just brought up the "Poydras" House today, which was the orphanage she was in around 1933. In a quick internet search, I found the following link (as well as running into your question)
http://www.poydrashome.com/history.htmlThis WAS called the Female Orphan Asylum. My mother had remembered it was on Magazine Street, which is where it is today (apparently built there around 1857) , according to this site, it is now a continuing care retirement center.