بسم الله الرحمن الرحيم
(Fatwa: 392/319/B=3/1439)
The child shall belong to the husband as the woman is in his nikah. Now the kaffarah of adultery is to do true and genuine taubah and seek forgiveness from Allah.
Allah knows Best!
Darul Ifta,
Darul Uloom Deoband
