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If the house is solely in the name of the deceased, and they had no will, then the default state intestacy laws would control who inherited it. In MD, if someone passes while married and has children from a prior marriage, then the spouse inherits the first $15,000 of the estate plus half the balance. The children divide up the other half of anything over $15K.
So the surviving spouse would get the first $15,000 and then half of anything that was in the decedent's name over that amount.