Anyone who puts her babies in the oven and turns it on is crazy, of course. But Lamore Williams then placed a video call to the kids’ dad to show him what she'd done, so she's not going to meet the legal definition of insanity, is she?
That depends. I'd add that plenty of people meet that definition according to psychiatrists/psychologists, indeed multiple psychs in one case, but still end up getting convicted as if sane.
I don't know the facts of this case beyond the Fox link, but in general, insanity isn't stupidity. A delusional person can execute a flawless robbery of a bank, but does so because they are completely convinced that Saddam Hussein controls that bank and that by robbing it, they are fighting against a bad man. A delusional person can most certainly make a video and send it, like she did to the father. She might, for example, have a fixed false belief system in which the father worked with the CIA to drug her and make her think she gave birth, and that these children are in fact aliens altered to look human. I'm not making a joke, don't get me wrong. I've worked with my share of delusional people and delusions never make sense.
There was a guy in mass who filmed himself brutally murdering his mother. He was utterly and thoroughly convinced that she was a altered to look like his mother and replaced her as part of some far-flung government conspiracy to monitor/persecute him. (Though I think the jury convicted him anyway, perhaps assuming that if they found him not guilty by reason of insanity, he'd get out and do something like it again). The making of a video can be pretty ambiguous.
I'm not sure I want to watch the video here, but did you see and note something that indicates sanity to you?
The fact that popped out to me was that she initially claimed she left the kids with a relative. But then, even lying to throw of suspicion doesn't necessarily mean sanity. It can equally indicate the person knows that the government prosecutes murderers and suspects they might not be believed when they explain whatever delusional reason they had for doing it was. Or, if they believe the government is in on whatever crazy conspiracy it is, they might try to throw off suspicion for that reason - it'd be perfectly logical
if their delusion were actually true.
I saw a case rather like that. All we wanted was to have him locked up for life
in a mental hospital. Instead they locked him up for life in a prison, where he remains 100% convinced that the person he killed is alive, now planted in the prison to monitor him, and that every last bit of the grand conspiracy is still going on. Still real. (It might not surprise you that they don't exactly worry about perfect treatment in prison. They do give some medication, but they don't give the treatment necessary as they might in a mental hospital).
But then, I don't think the facts of the case clearly indicate insanity. History is stuffed to bursting with evil people. And, hell, some cultures would let deformed babies die of exposure.
Rambling complete.