noun
one's own child; biological child
Refers to a child one has given birth to, as opposed to an adopted child or stepchild. Often used in contrast with 育ての子 (a child one has raised).
彼女は産みの子と養子の両方を愛している。
She loves both her biological child and her adopted child.
産みの子より育ての子、という言葉もある。
There is also a saying: 'The child you raise is more your child than the one you gave birth to.'
noun
Archaic use referring to one's descendants or offspring in a broader sense. Rare in modern Japanese.
古文書には「産みの子」が子孫を指す例が見られる。
In old documents, 'umino ko' can be found referring to descendants.
Compound of 産み (umi, 'giving birth', from 産む umu) + の (no, possessive particle) + 子 (ko, 'child'). Literally 'child of birth'.