There is no relationship in the English language that is called a "half cousin." Everyone who is your cousin is related to you through one and only one parent, so, unlike a "half brother" there can be no such thing as a "half cousin."
If you have a first cousin (child of your aunt or uncle), then your child and that first cousin are first cousins once removed.
If you have a second cousin, they your child and that second cousin are second cousins once removed.
To keep things clear, let's call your 1st cousin once rmoved "X".
The relationship between your children and X depends on how X is once removed. If X is a 1st cousin of one of your parents, then your children and X are 1st cousins twice removed. If X is a child of your 1st cousin, then your children and X are second cousins.
Your cousin's half-brother may or may not be related to you. Your cousin has two parents, only one of whom is related to you (i.e. is the sibling of one of your parents). You cousin and his half-brother have only one parent in common. If the half-brother is the child of you parent's sibling, then the half-brother is related to you and is your cousin, too. If the half-brother is not the child of your parent's sibling, then he is not related to you at all.
Your cousin' spouse becomes your cousin by marriage (cousin-in-law). The reason for this is that they have the same relationship to you.
Your great grandmother's first cousin is your first cousin three times removed.
Your great uncle's granddaughter is your second cousin.
You and your first cousins share the same Grandmother.
Your half brother's children and your children are half cousins. However, in casual conversation, you can also refer to them as cousins, just as you can refer to your half brother as your brother.
a nephew's kid to his aunt's kids would be their cousin.
It depends on if you share a common ancestor. If not, there is no relationship.
2nd cousin, but if it's your Dad's 2nd cousin... then your relationship with that cousin would be a 3rd cousin.
Your grandfather's cousin is your cousin twice removed. Her husband has no direct relationship to you.
It is your cousin also
your half sisters cousin would be your cousin
No it doesn't because it's your own choice not something from the bible.
yes because when you're half you're still blood related to her brother would still be you're uncle and his kids would still be you're cousins.
Since the cousin is from your half uncle's wife's side of the family the cousin would not be your cousin.
There is no relationship. You do not share a common ancestor. Your mother's cousin would be your first cousin once removed.
If it was a boy then he would be your sons half brother and if it was a girl she would be your sons half sister.