The child dies but has previously received at least 1 taxable benefit from the parent in the 5 years prior to death- to be taxable, the benefit must be a gift worth at least €3,001. there won't actually be any tax payable due to the threshold but the €1 is 'theoretically taxable'.
An inheritance arises when a person leaves assets in a will to another on his/her death. If a son/daughter leaves assets to his/her parents by a will then the parent will be granted a group A threshold if the child dies. If the parent were to receive a gift from the son/daughter (ie the son/daughter doen't die) , that would be a group B threshold.