What was Samson's mom named?

Answer 1

No, The Bible does not.

(Judges 13:2-5) 2 Meanwhile there happened to be a certain man of Zo′rah of the family of the Dan′ites, and his name was Ma·no′ah. And his wife was barren and had borne no child. 3 In time Jehovah's angel appeared to the woman and said to her: "Look, now, you are barren and have borne no child. And you will certainly become pregnant and give birth to a son. 4 And now watch yourself, please, and do not drink wine or intoxicating liquor, and do not eat anything unclean. 5 For, look! you will be pregnant, and you will certainly give birth to a son, and no razor should come upon his head, because a Naz′i·rite of God is what the child will become on leaving the belly; and he it is who will take the lead in saving Israel out of the hand of the Phi·lis′tines."

Answer 2

Manoah's wife. She is only mentioned as "the woman" and Manoah's wife. See Judges 13 in the Bible for the story of Samson's birth.

Answer 3

The Biblical account doesn't specify her name, she's simply referred to as "the wife of Manoah."

Rabbinical tradition gives her name as "Zlelponeth" or "Hazelelponi".