Even the school Psych. Acts strange and brings up her own 2E kids when I share my childs work and journals from home. She even once asked me why I was showing them to her. Made me feel very self conscious and as if she thought I was bragging rather than sharing his work.
Possibly she asked you this because she was uncertain whether a bit of friendship may be emerging (bonding over mutually sharing stories of your 2e kids) or whether the conversation was strictly professional progress updates on your children? As with most things, it is helpful to know ourselves well, understand our own hopes and motivations, and possibly be willing to share them to manage expectations.
