Cluster
Cluster is one of the most well-known private photo sharing apps at the moment, and it’s built around small groups and special occasions. Other than that, it works very much like a standard social network across the web and mobile devices, with notifications, comments, likes, and it supports notes and videos as well as photo sharing.
Crucially you always know exactly who you’re sharing with, so there’s no chance of a picture going to the wrong person by mistake, and it works equally well for baby showers or vacation road trips. There is the small matter of having to get all your favorite people to sign up for another photo app, which might not be as easy as the actual photo sharing.