Martin Short's wife of 30 years, Nancy Dolman, died Saturday at the couple's Pacific Palisades home in California, the couple's representative announced late Monday. She was 58.

The family has not disclosed the cause of death, but a coroner official told PEOPLE on Tuesday that Dolman was "under the care of a private physician for a natural disease" when she died. "There will be no coroner involvement, L.A. County Coroner Chief Craig Harvey noted.

On Saturday morning, the Los Angeles City Fire Department went to their home in response to an emergency call. The response unit was on the scene for 30 minutes before departing without taking anyone to the hospital. It's believed Dolman passed away at their house. was first to report the news.