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Yes. He has children from that marriage.
If no one else's name is on the deed you would get it.
Georgia O'Keeffe had no children, this was a decision made between herself and her husband, Alfred Stieglitz.
Possibly none. The deceased husband's rights to inherit as a named heir may have been terminated if he died before the person whose will you're reading. However, if the husband was named as an heir "per stirpes", or as a representative of his branch of the family ("to my children and their offspring"), then his estate and his lawful heirs may have a claim under the will.
Your husband should be paying child support for his children unless the mother of the children has remarried and her new husband adopts the children. It would be wise that he gets each child DNA tested to even be sure they are his children. If your husband did not let you know before you married him that he had four children then it's an injustice to you, but the two of you have to learn to communicate and decide on what the right recourse is to resolve this problem.
That will depend on the wording of the will. Their children are more likely to inherit if there are any.
The surviving children will inherit.
If there is no will, you are likely to inherit the house, unless there were children that are not yours. And even if there is a will that doesn't name you, the spouse usually gets a 'dower' right in any real property owned by the husband at any point in the marriage. Get a will! You state may even have a 'statutory will' a form that you can fill out and will serve as a valid testamentary.
I will assume that you conveyed your real property to your daughter and reserved a life estate in that property. In that case, your daughter is the owner of the property. She can leave it to someone in her will or it will pass to her heirs-at-law under the laws of intestacy in your state. Generally, if she is married with children, her husband and children will inherit the property if she has no will. You can check your state laws of intestacy at the related question link provided below. Your daughter's death will not affect your life estate. Whoever would inherit her property upon her death either by will or by intestacy would inherit it subject to your life estate.
No
If the person leaving the remainder died before the spouse, it is a part of their estate and will get distributed per the will or the law.
If her name is on the title, most certainly. If not, the car is part of the estate and it will have to be resolved before she can inherit it.