3 rlm
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You must mean a non-Jewish (actually, quasi-Jewish) slave, a "shifcha." (I.e. she was born non-Jewish, then underwent a part-conversion when she became a slave.) A born-Jewish, "ama ivriyah" goes free automatically upon reaching puberty, so that case is moot.

I don't know whether the partial conversion given to a shifcha already wipes out all existing relationships (as it does with full-blown conversion), but the point is moot. As the last Mishnah in Kiddushin Chapter 3 observes (and the Halacha follows Rabbi Tarfon's opinion):

רבי טרפון אומר:
יכולין הם ממזרים ליטהר.
כיצד?
ממזר שנשא שפחה, הוולד עבד;
שחררו, נמצא הבן בן חורין.

רבי טרפון אומר:‏
יכולין הם ממזרים ליטהר.‏
כיצד?‏
ממזר שנשא שפחה, הוולד עבד;‏
שחררו, נמצא הבן בן חורין.‏

The offspring of a male mamzer and female shifcha is just plain eved (eved kna'ani, to be specific), not eved mamzer. There is no room in the category for any flavor of eved, just plain eved. Thus to the best of my knowledge the same would apply here, the offspring of a shifcha is just plain eved; whether the father was a normal Jew, a non-Jew, a mamzer Jew, or a forbidden-relation Jew.

You must mean a non-Jewish (actually, quasi-Jewish) slave, a "shifcha." (I.e. she was born non-Jewish, then underwent a part-conversion when she became a slave.) A born-Jewish, "ama ivriyah" goes free automatically upon reaching puberty, so that case is moot.

I don't know whether the partial conversion given to a shifcha already wipes out all existing relationships (as it does with full-blown conversion), but the point is moot. As the last Mishnah in Kiddushin Chapter 3 observes (and the Halacha follows Rabbi Tarfon's opinion):

רבי טרפון אומר:
יכולין הם ממזרים ליטהר.
כיצד?
ממזר שנשא שפחה, הוולד עבד;
שחררו, נמצא הבן בן חורין.

The offspring of a male mamzer and female shifcha is just plain eved (eved kna'ani, to be specific), not eved mamzer. There is no room in the category for any flavor of eved, just plain eved. Thus to the best of my knowledge the same would apply here, the offspring of a shifcha is just plain eved; whether the father was a normal Jew, a non-Jew, a mamzer Jew, or a forbidden-relation Jew.

You must mean a non-Jewish (actually, quasi-Jewish) slave, a "shifcha." (I.e. she was born non-Jewish, then underwent a part-conversion when she became a slave.) A born-Jewish, "ama ivriyah" goes free automatically upon reaching puberty, so that case is moot.

I don't know whether the partial conversion given to a shifcha already wipes out all existing relationships (as it does with full-blown conversion), but the point is moot. As the last Mishnah in Kiddushin Chapter 3 observes (and the Halacha follows Rabbi Tarfon's opinion):

רבי טרפון אומר:‏
יכולין הם ממזרים ליטהר.‏
כיצד?‏
ממזר שנשא שפחה, הוולד עבד;‏
שחררו, נמצא הבן בן חורין.‏

The offspring of a male mamzer and female shifcha is just plain eved (eved kna'ani, to be specific), not eved mamzer. There is no room in the category for any flavor of eved, just plain eved. Thus to the best of my knowledge the same would apply here, the offspring of a shifcha is just plain eved; whether the father was a normal Jew, a non-Jew, a mamzer Jew, or a forbidden-relation Jew.

2 Sourced
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You must mean a non-Jewish (actually, quasi-Jewish) slave, a "shifcha." (I.e. she was born non-Jewish, then underwent a part-conversion when she became a slave.) A born-Jewish, "ama ivriyah" goes free automatically upon reaching puberty, so that case is moot.

I don't know whether the partial conversion given to a shifcha already wipes out all existing relationships (as it does with full-blown conversion), but the point is moot. As the last Mishnah in Kiddushin Chapter 3 observes (and the Halacha follows Rabbi Tarfon's opinion):

רבי טרפון אומר:
יכולין הם ממזרים ליטהר.
כיצד?
ממזר שנשא שפחה, הוולד עבד;
שחררו, נמצא הבן בן חורין.

The offspring of a male mamzer and female shifcha is just plain eved (eved kna'ani, to be specific), not eved mamzer. There is no room in the category for any flavor of eved, just plain eved. Thus to the best of my knowledge the same would apply here, the offspring of a shifcha is just plain eved; whether the father was a normal Jew, a non-Jew, a mamzer Jew, or a forbidden-relation Jew.

You must mean a non-Jewish (actually, quasi-Jewish) slave, a "shifcha." (I.e. she was born non-Jewish, then underwent a part-conversion when she became a slave.) A born-Jewish, "ama ivriyah" goes free automatically upon reaching puberty, so that case is moot.

I don't know whether the partial conversion given to a shifcha already wipes out all existing relationships (as it does with full-blown conversion), but the point is moot. The offspring of a male mamzer and female shifcha is just plain eved (eved kna'ani, to be specific), not eved mamzer. There is no room in the category for any flavor of eved, just plain eved. Thus to the best of my knowledge the same would apply here, the offspring of a shifcha is just plain eved; whether the father was a normal Jew, a non-Jew, a mamzer Jew, or a forbidden-relation Jew.

You must mean a non-Jewish (actually, quasi-Jewish) slave, a "shifcha." (I.e. she was born non-Jewish, then underwent a part-conversion when she became a slave.) A born-Jewish, "ama ivriyah" goes free automatically upon reaching puberty, so that case is moot.

I don't know whether the partial conversion given to a shifcha already wipes out all existing relationships (as it does with full-blown conversion), but the point is moot. As the last Mishnah in Kiddushin Chapter 3 observes (and the Halacha follows Rabbi Tarfon's opinion):

רבי טרפון אומר:
יכולין הם ממזרים ליטהר.
כיצד?
ממזר שנשא שפחה, הוולד עבד;
שחררו, נמצא הבן בן חורין.

The offspring of a male mamzer and female shifcha is just plain eved (eved kna'ani, to be specific), not eved mamzer. There is no room in the category for any flavor of eved, just plain eved. Thus to the best of my knowledge the same would apply here, the offspring of a shifcha is just plain eved; whether the father was a normal Jew, a non-Jew, a mamzer Jew, or a forbidden-relation Jew.

1
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You must mean a non-Jewish (actually, quasi-Jewish) slave, a "shifcha." (I.e. she was born non-Jewish, then underwent a part-conversion when she became a slave.) A born-Jewish, "ama ivriyah" goes free automatically upon reaching puberty, so that case is moot.

I don't know whether the partial conversion given to a shifcha already wipes out all existing relationships (as it does with full-blown conversion), but the point is moot. The offspring of a male mamzer and female shifcha is just plain eved (eved kna'ani, to be specific), not eved mamzer. There is no room in the category for any flavor of eved, just plain eved. Thus to the best of my knowledge the same would apply here, the offspring of a shifcha is just plain eved; whether the father was a normal Jew, a non-Jew, a mamzer Jew, or a forbidden-relation Jew.