They may be entitled to some assets but it is not a certainty. When a person dies intestate (without a will) the state probate succession laws apply. All assets, property and debts of the deceased are entered into probate. All creditors are notified by the appointed executor or executrix of the probate filing. Creditors have a period of time as specified by state law to file a claim against the estate. No assets or property will be distributed until all debts and taxes are paid according to their priority and to the extent of the available assets. Once debts have been paid, any remaining assets and all exempted assets and property will be distributed to surviving family members. The general succession rules are, the surviving current spouse and her children, then the biological children of a previous marriage(s), the parents of the deceased (if applicable)and so forth until the estate is depleted. The issue of unpaid child support is not likely viable unless there was a court order and the state chooses to make a claim against the estate for repayment of any public assistance that was received by the minor children. Any "interested party" has the legal option of contesting a will but not probate succession law. The only option if the adult children are not included would be for them to file a suit against the estate in the appropriate court.
During a divorce you are entitled to half of all assets that were acquired during the marriage. You are not entitled to anything that was owned before the marriage took place.
The spouse gets the home. The children are not entitled to a portion of the home. They are not required to get anything from the estate.
All her biological children are equally entitled as heirs at law.
A current spouse would have first claim.
It depends on the situation. If there is a will, the will determines. If there is no will the law of the jurisdiction (state in the US) will determine. In many cases the children from the first marriage are entitled to half the property if there are no children from the second marriage. Consult a probate attorney in your jurisdiction.
Generally, if the house was purchased before marriage, the estranged husband has no right to it. That is what my lawyer told me today. You should discuss it with your own attorney since there are factors that could change the situation. For example, if your husband inherited money and then used it to build an addition on your home he would be entitled to an interest.
The second marriage is invalid, so the children of that marriage are illegitimate. Whether illegitimate children are entitled to a share of the inheritance depends on the law of the particular country involved - which you do not specify.
Because they have an estranged marriage and aren't physically close.
In general, you and your mother's other children are entitled to the same benefits - child support, Social Security, a share of the estate, etc.
She will be entitled to what is her share legally.
Yes. All the children would be considered heirs at law under the laws of intestacy. See related question link provided below.