I never thought about it until yesterday, when my daughter asked that we take a "selfie" together; I thought it was a great picture and put it on Instagram. Later she wanted to browse through my pictures and asked me, shocked: "You put that on Instagram?!"
I had never really considered it to be an issue (I have a private account, pictures only get shared with friends family), but thinking more on it- she really should be asked to consent to share it, even if my account is locked down. I've been telling her (for as long as it's relevant) that anything on the internet stays there forever, and we've had talks about privacy when they want to install some cheap knock-off F2P mobile game that wants access to your entire phone, but this is another aspect I need to consider.