What is the musicians called in funeral march?

There is no specific term for these players. IT IS TRUE, that in New Orleans there were special bands that followed the Hearses so to speak. they played dead-slow stuff as appropriate for a funeral en route to the cemetery, but after the burial on the return livened up with the familiar ( Saints Go marching In!) There was a scene of this sort of thing in the opening sequences of the movie (Pete Kelly"s Blues) Pete Kelly being a Jazz musician. It was not clear who the funeral was of or for but it was Not the Title Character! The slow trot was ( walkling with Jesus) and the Saints was the return march, at all speed! It is odd but a number of movies open with funerals and sometimes the victim is obscure or unknown and does not relate to the plot- this case is closed! pun intended.