The stories happened in China around post-Qing period although the hair styles of the men did not fit well.
Son, the protagonist, was a free writer who deeply loved a woman he called ’elder sister’ Shue but she was dead. Fu, an apparently young, skilful but cunning Taoist priest, re-animated Shue and used her as a zombie body guard... In order to acquire the method of full resurrection of Shue, Son became an apprentice of Fu and promised to help Fu with various unreasonable tasks. After that Son met different priests and necromancy practitioners, and he even visited the other sides of the world. Most of the stories are associated with Chinese necromancy and folklore and that is probably why it is called Necrolog.
From MangaHelpers:
One day, Son happened across a woman, named Shue, that he had loved as an older sister when they were young. It looked like it was the same woman, with the same scars, but Son had thought she was dead. In fact, she was a reanimated corpse, resurrected by a young girl named Fuu to work as her minion. Son becomes Fuu’s follower, determined to find a way to return Shue’s soul to her body so that she might live again. However, Son doesn’t know what he’s gotten into with Fuu, though, as she ends up in conflict with many other practitioners of her arts, using Shue’s reanimated corpse to do things that Son would rather have never seen. [tethysdust]