Is a child born from a marriage in which the husband's name and lineage were falsified attributed to the real husband or to the falsified name, and is this marriage Islamically valid?

The husband's actions of forgery and lying are a clear sin and transgression, and he must promptly repent. The marriage contract itself is valid, and the wife does not have the option of annulment if it becomes clear that the husband is from an Arab tribe and the wife is from another Arab tribe. However, she does have the option if she is Arab and it turns out he is a mawla (freed slave or non-Arab client), or if she is from the Quraysh tribe and married him believing him to be from the Quraysh, but it turns out otherwise. The wife does not have the option of annulment if it becomes clear that the husband is her equal or lower than her in lineage. The child mentioned is attributed to this husband, and a child is only attributed to the name of his real father.