Is a company liable for hosting images of children on their systems without permission from the parent?

Shutterfly purchased Lifetouch. Lifetouch was/is the monopoly for school pictures for many schools. My children had their pictures taken and those assets managed by Lifetouch. When Lifetouch was bought, Shutterfly took possession of those assets and rom what I can understand from their support, copied them and began hosting them on a separate system. In essence, I can now pay Shutterfly to print images of my children. I now have two separate logins to access two separate websites, both who have images of my kids on their servers. I likely agreed to a terms of use for Lifetouch but never did so with Shutterfly and I am bothered that these images not only exist in perpetuity but are being shared between one if not multiple entities in the Shutterfly ecosystem. I am seeking a guarantee that these images are permanently removed from all systems, but it seems to me this is a very large and disturbing scenario for any parent concerned about the privacy of their children.