Sentence:  Which indeed is so true, that she herself may seek back for her own gain the dowry offered by another on her <WSD>behalf</WSD>, unless by chance he who offered it immediately (that is, at the time of offering or of promising) stipulated or made an agreement that the afore-mentioned dowry would be returned to him. 
Meaning of the word marked with <WSD> tags:  One's role or rightful place; stead or authority.