All her biological children are equally entitled as heirs at law.
Yes. ANYONE named in the will is eligible to be included in the inheritance. On the other hand, if the decedent died intestate (without a will) their property would pass according to the state laws of intestacy. In some states, children by a former marriage would automatically inherit a share. You can check the laws in your state at the related question link.
Yes. All the children would be considered heirs at law under the laws of intestacy. See related question link provided below.
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.
All children born within a marriage as well as the ones born out of wedlock but recognized as the father are entitled to inheritance to carry the same surname as their father and all other rights stemmed from the relationship. Any inheritance will be divided equally among the children and any other people inheriting.
No
In Idaho, children from a previous marriage are entitled to inherit from their father's estate, unless he purposely disinherited them through a will or trust. The surviving spouse would also have rights to inherit, but the laws may vary depending on the specific circumstances and estate planning documents in place.
Are you asking if your previous husband ought to be legally responsible for supporting your children by your new husband?
No, she never remarried or had lovers (at least as far as we know).
Most assets acquired during a marriage in California are considered shared property between you and your spouse, but inheritance is an exception. If you receive inheritance while you are married, your spouse does not have any right to that money as long as you keep it separate from your spouse and your shared property.
A current spouse would have first claim.
You are not able to get remarried before your divorce is final. If you do remarry before that, then your marriage will not be legal.
The term is "remarried" (marriage is a noun, not a verb).