A person who dies without a Will is considered to have died intestate.  In Maryland a spouse who dies intestate leaves his or her assets pursuant to the laws of intestate succession.

If there is a surviving minor child, the surviving spouse’s share is one-half.

If there is no surviving minor child, but there is surviving issue, the spouse’s share is equal to the first $15,000 plus one-half of the residue.

If there is no surviving issue but a surviving parent, the surviving spouses share is equal to $15,000 plus one-half of the residue.

If there is no surviving issue or parent, the surviving spouse’s share is the whole estate.

§ 3-102 of Estates and Trusts Article of Maryland Annotated Code