The mom is a pediatrician...
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...who CLEARLY suffers from Munchausen syndrome by proxy (MSP). Keep your children away from sociopaths such as her.
“Munchausen syndrome by proxy (MSP)”-right you are-right out of psychology class and her photo is right beside the definition in the DSM-if she isn’t charged with child abuse, she should have any unsupervised visitation rights withboth her kids revoked unless she agrees to long-term psychotherapy...
I agree with your diagnosis, though it’s more commonly referred to these days as “Bat***t Crazy Syndrome.”