West Coast police are ramping up efforts to find out what happened leading up to the fatal shooting of a Greymouth woman.

An 0800 number has been established specifically for members of the public who might have information relevant to the police's investigation.

A 45-year-old man was arrested in Monday and charged with murder following the shooting of Hayley Williams in Greymouth on Sunday. However, police are seeking information on the events leading up to and immediately after the shooting.

Police are particularly interested in sightings of a late 1990s silver Honda sedan with mag wheels, believed to be linked to the incident.

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It's believed the vehicle was around Marsden Rd and Old Christchurch Rd late afternoon or early evening on Sunday.

Anyone with information can call 0800 677 6767.