Pilsbury was the 38th Mayor of New Orleans, holding the office from November of 1878 to December of 1880.
The tomb is unique for a number of reasons. It's on the end of a row of tombs, so the plot is larger than most. It's almost large enough to be a coping, but the tomb built there is just a "single." The obelisk is typical of late 19th century cemetery architecture. Egyptian themes were very popular at that time.