heaven-sent child; child granted by prayer
Refers to a child believed to be given by the gods or Buddha in answer to Shinto or Buddhist prayers. Often used in traditional or religious contexts.
After years of praying, they were blessed with a heaven-sent child.
child of an era; product of the times
Used figuratively in the pattern ～の申し子 to describe a person or thing that embodies the spirit or characteristics of a particular era, movement, or environment.
He is truly a child of the Showa era.
This work can be called a product of the digital age.
Compound of 申し (mōshi, 'saying' or 'requesting', continuative form of 申す mōsu, humble of 'to say') + 子 (ko, 'child'). Literally 'requested child', referring to a child obtained through prayer.