Besides immediate family, these things are usually settled on a case by case basis.
A grandchild would be the first to inherit. The will may say otherwise.
Depends on the will.
uncle
Your first cousin is the child of your parent's sibling. Your second cousin is the grandchild of your grandparent's sibling. So your first cousin is more closely related to you than your second cousin and is "first in line" if you leave no living children, grandchildren, parents or siblings.
A child.
Their closest relative in the royal line. Most often a sibling, but could also be a cousin, nephew, niece etc. Whoever is next in line.
It depends on how the will was written.
A first cousin is the child of your parent's sibling while a nephew is the child of your sibling. That makes the nephew more closely related to you than the first cousin, unless the law in your place of residence defines things differently.
Yes, the baby would be your cousin one more time removed from your relation to the cousin. E.G - if your second cousin has a baby, the baby will be your second cousin once removed and if you have children, they will be third cousins of the baby.
No, your first cousin (whether twice removed or otherwise) is not in your direct line of descent and you can inherit nothing genetically from that person. You can inherit genes from your parents that your first cousin (whether twice removed or at some other removal) inherited from his parents.
Describing someone as a "distant cousin" is a very imprecise way of saying that they are related to you, but the speaker either does not know exactly how or they are not a first cousin, but are "more distant."
Your first cousin's sibling (parent of the nephew) is also your first cousin, so in that case the nephew is your first cousin, once removed.However, it's possible that the nephew is the son of one of your cousin's spouse's siblings, which makes him best described as "no relation."Then there's half-siblings, and step-siblings.... the bottom line is you're probably best off leaving it as "my cousin's nephew" except in the specific "cousin once removed" case already mentioned.
Great-great-great Aunt/Uncle. You basically aren't listed as anything else after the first 'great' to that line.
The son of your dad's first cousin is your second cousin. 1. First cousins share two of the same grandparents. 2. Second cousins share the same great-grandparents but not the same grandparents.