If your cousin is having a baby, you are the baby's first cousin once removed or simply the baby's cousin (depending on how you look at it).
Explanation:
- Your cousin's child is your first cousin once removed.
- From the baby's perspective, you are their parent's cousin.
So, you are related to the baby as a cousin, but one generation apart. If you have children, your children and the baby will be second cousins.
