127 Kiddushin 3/11-13

(11) [With regard to one who says to a woman,] "I betrothed your daughter," and she says, "You betrothed none other than myself," he is forbidden to [marry] the relatives of the younger one, and the younger one is permitted to [marry] his relatives; he is permitted to [marry] the relatives of the older one, and the older one is forbidden to [marry] his relatives.

(12) Wherever there is [a valid] betrothal and no sin, the child follows the male [with regard to familial status]. Which is this? This is a Kohenet, a Levite woman, or an Israelite woman who married a Kohen, a Levite or an Israelite. Wherever there is [a valid] betrothal and there is a sin, the child follows the defective one. Which is this? This is a widow married to the Kohen Gadol [High Priest], a divorcee or a chalutzah [the widow of a childless man released from the obligation of levirate marriage by a ceremony performed by her brother-in-law] [married] to an ordinary Kohen, a mamzeret [the female offspring of certain prohibited relationships who may not marry into the general Jewish population] or a Netina [female Gibeonite] to an Israelite, a female Israelite to a mamzer or Netina. [With] any [woman] for whom there is no betrothal to him, but there is betrothal to others, the child is a mamzer. Which is this? This is one who has sexual intercourse with any one of the forbidden sexual relations [mentioned] in the Torah. Any [woman] for whom there is no betrothal either to him or to others, the child is like her. Which is this? This is the child of a [non-Jewish] maidservant or a non-Jewish woman.

(13) Rabbi Tarfon says, "It is possible for mamzerim" to be purified [from their status]. How so? A mamzer who married a [non-Jewish] maidservant, the child is a [non-Jewish] slave. If they were freed, the son becomes a free [ordinary Jew]. Rabbi Eliezer says: This [child] is a mamzer slave.