Karen Dacre was taken to hospital after being discovered at her home in Burleigh Close, Willenhall, on September 3, 2019. The 46-year-old died the next morning.
A 39-year-old man arrested on suspicion of murder at the time was released with no further action and the matter was referred to the coroner.
The inquest took place on Tuesday at Black Country Coroners Court and the conclusion of Area Coroner Joanne Lees was an open verdict.
The medical cause of Ms Dacre's death was raised intracranial pressure due to subdural haematoma and cirrhosis of the liver.
The inquest heard that Ms Dacre was admitted to New Cross Hospital unconscious with a head and facial injuries on September 3, 2019.
She was an alcoholic and had been drinking heavily that evening and had suffered a fall. At hospital she was diagnosed with an unsurviveable brain injury and died in the early hours of the next morning.
A post mortem revealed the presence of a large subdural haematoma, a large amount of alcohol and cirrhosis of the liver. However, the cause of the subdural haematoma and the sequence of events leading up to the subdural haematoma could not be ascertained with any certainty, the inquest heard.