I have a picture of a tombstone with Falkners from 1884 to 1920...it's very hard to read but some of it is ledgible.
The Cemetery is located near City
Park just on the Metarie/New
Orleans line...
If it helps you I'd be happy to send you a copy.
Some of the names on the stone are Mary. Cecile, James, and a few others I can't make out. I go to cemeteries just to take pictures...I start at one end and work my way down the row.