I'm just recalling that there were legal systems where the problem of extramarital sex was basically the hurting of another man's property rights.

Indeed, married vs. unmarried is a very important distinction. Also the virgin aspect (not ruining her future marriage prospects). There are many times and places in which if you were a woman, being a widow got you more freedom (not just sexual) than many of your other options. (Of course, "freedom" also depends on which specific freedoms you personally were most interested in.)