To the point that someone made about client/doctor confidentiality: that law was not put into place until the late 1920's, which was 40-50 years after this episode was set. Also, even if it was in place, the patient was a minor, so unfortunately the rules don't apply to her.
Due to doctor/patient confidentiality Doctor Baker shouldn't have told Laura and Albert that Sylvia is pregnant.
The school boys have belt loops on their pants. Belt loops were not invented until 1922.