To set up one's child, especially a daughter, to be married to someone so as to no longer be financially responsible for them. A noun or pronoun can be used between "marry" and "off." Despite social advancements in the country, there is still a culture of marrying off one's daughters at the earliest possible time to someone of great wealth or status. I wish you would stop trying to marry me off whenever we're at a large gathering of people—I'll get married if and when I'm ready, thank you very much.