Unfortunately, my most continuous Naumann line enters my family tree in 1765 when Anna Maria Naumann marries Johann Samuel Berge, so the Naumann name does not carry through. I cannot tell if your Bruno is descended from a sibling of Anna or some other possibly related line. These Naumann were from Naundorf, part of the Kötschenbroda parish, NW of Dresden.
In fact I have Naumann twice more in my tree who marry into the Berge family in the 1600's but no connection to the later Naumann has been established:
Magadalena Naumann oo George Berge 1655 Andreas Sättler oo Martha Naumann 1665 both in Kötschenbroda.
The children of Martha and Magdalena married, but no other relationship has been established between them yet.