A Ghost of a Murder — Elizabeth Pulford

In 1899 a skeleton is discovered in the village of Toodlepunt. Florence Crankshaw and her three friends, members of a closeted psychic circle, decide to do their own sleuthing, both through the physical world and the spiritual, to discover who the victim was and what cause had lead to death.
During the days that follow the skeleton's discovery Florence finds herself pulled not only into the heart of the mystery, but also into the heart of the visiting constable, Horatio Tweed.

A Ghost of a Murder is a delicious mixture of mystery, mischief and mayhem, plus a sprinkling of romance.