What does ASSIGNMENT OF DOWER mean? March 26, 2017 All Dictionary ASSIGNMENT OF DOWER meaning in Law Dictionary certaining a widow's right of dower by laying out or marking down one-third of the woman "deceased spouse's places, and triggering equivalent on her usage during life. Bettis v. Mc- Nider, 137 Ala. 588. 34 Southern. 813, 97 Am. St. Rep. 59.