Your situation does not involve intestacy, because there is a Will. Intestate laws provide for distribution of the decedent's probate estate, when there is no Will. The next of kin, or the "heirs" are those persons named in the intestate laws. When there is a Will, there is no intestacy. When there is a Trust, there is generally not a need for probate, or a Will.
I am licensed to practice law in the State of Michigan and have offices in Wayne and Ingham Counties. My practice is focused in the areas of estate planning and probate administration.
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It just means the person died without a will (which is apparently not your situation).
Frank W. Chen has been licensed to practice law in California since 1988. The information presented here is general in nature and is not intended, nor should be construed, as legal advice. This posting does not create any attorney-client relationship with the author. For specific advice about your particular situation, consult your own attorney.