father-in-law: the father of a man's wife (and, in the feminine form, his wife's mother)
This is the word used as a title for a relative gained through marriage, and it always points to the wife's side of the family. When the Bible calls someone a man's father-in-law with this word, it means the father of the woman he married, the man who gave his daughter to him. Jethro, whose daughter Zipporah married Moses, is the stock example: the story of Exodus repeats the title again and again.
Biblical Hebrew is careful about which side of a marriage a relative belongs to. This word names the wife's father specifically, never the husband's father, who is called by a different word. Its feminine form names the wife's mother in the same way. English blurs these lines by wrapping them all in the single phrase "in-law," so the precise family map behind the Hebrew is easy to miss.
The title reflects a real bond, not just a legal label. A father-in-law hosts his son-in-law, advises him, sends him off with a blessing, and shares meals and sacrifices with him, as Jethro does with Moses. The same warmth and obligation appear in the account of the Levite and the young woman's father in Judges.