The problem is that it's not just her privacy she's violating, but the privacy of everyone else, including OP, whose photos get shared by said cousin.
When I got back from a trip I took abroad with my family earlier this year, my friends mentioned that they'd seen the photos that "I" had posted to Facebook. Except... I hadn't posted any photos to Facebook. I have a Facebook account, but I deliberately have a very minimal presence on it. What my friends were seeing was the photos that my mother had posted, and which I had been tagged in. My privacy was violated by someone else's inability to understand Facebook's privacy settings.