Police were called to an address on Ambleside Road in the town just before 8.40pm last Wedneday (March 14) after a report that two people had been seriously injured.
The woman, Diane Jones, and a 59-year-old man were taken to hospital for urgent treatment.
She died of her injuries at the weekend. The 59-year-old man is recovering from his injuries.
A 42-year-old man was arrested at the time in connection with the incident.
He remains in police custody and enquiries remain ongoing.