London, Oct. 2.--The trunk of a woman was found in a recess of the new police offices in the Thames Embankment this afternoon. The head, arms and legs were missing. The trunk, which was in an advanced state of decomposition, was wrapped in rough cloth and tightly bound with cord. It is believed that the arms recently found at Pimlico and Lambeth were cut from this body.

An inquest was held to-day on the body of the woman found murdered in a narrow court off Berners-st. on Sunday morning.

A sister of the victim was called, and deposed that she awoke at 1:20 o'clock Sunday morning and heard kisses and a sound which she thought was made by a person falling to the ground. She was convinced that her sister was dead, and, after reading the accounts of the murder in the newspapers, went to the Morgue and recognized the body of the murdered woman as that of her sister. The house in which the witness lives is several miles from Berners-st.

The murder is believed to have been committed at about 12:50 o'clock Sunday morning.