Final answer:
Mrs. Huffington was killed by the wife of Mr. Giles Hicks, who beat her with an oak stick for not attending to her baby's cries. The girl died from her injuries and, despite a coroner's examination confirming the cause of death, Mrs. Hicks was never arrested or tried for the murder.
Step-by-step explanation:
The person who killed Mrs. Huffington was the wife of Mr. Giles Hicks, as described in the reference provided. She committed this atrocious act against a young girl, who was the cousin of the wife of the narrator, by beating her severely with an oak stick. The young victim, who was between fifteen and sixteen years old, had been tasked with minding Mrs. Hicks's baby when she fell asleep due to exhaustion from previous nights.
Upon discovering that the baby was crying and the girl did not respond, Mrs. Hicks violently attacked her, resulting in her death. The girl was examined by the coroner after being buried and found to have died from the beating. Despite the issuance of a warrant, Mrs. Hicks was never punished as it was never served, allowing her to evade justice for her crime.