Getting people riled up about "stolen" baby photos sounds like a great way to push fun new copyright laws.
Congratulations! You've successfully published your new photo album. All photos in this album have been copyrighted and anyone who republishes them in any media without your express written consent is in violation of US Copyright law.
Technically, you're correct. You sort of already get Copyright automatically once it's been created.
Having it and enforcing it, however, are two separate things.