A more thorough explanation:

Definition: Equity to a settlement refers to a wife's right to have a portion of her equitable estate settled upon herself and her children when her husband sues in equity for the reduction of her equitable estate to his own possession.

For example, if a husband sues for the reduction of his wife's equitable estate, she may be entitled to a settlement that provides for her and their children. This is known as equity to a settlement or wife's equity.

This right ensures that the wife and children are not left without any financial support in the event of a legal dispute between the husband and wife. It is a way to protect the interests of the wife and children in such situations.