death cert question

Hi - I am getting ready to request a death cert for my great-great grandmother. I discovered in a newspaper clip that she was living in Port Jefferson. My grandfather had always said Brookhaven. When I looked at the New York Death Index 1852-1956, I discovered that the place of death is listed as Mineola. If I wanted to reach out to a local jurisdiction rather than the state, so I go with where she was living or where the death is listed from the index? Thanks for any help!