Social Security is a federal program, so the state you live in doesn't matter.
Please read this page from the Social Security site --
Social Security Online - Widows, Widowers & Other Survivors - Report a Death
Last week I called for our library homeless guy (who was with me -- he has no phone or access to one), and we waited about ten minutes. I've called late in the week in the afternoon and waited even less time. Other than that waiting time, service is prompt and efficient.