I've seen plenty of reports of fraud cases on here, but I've never seen one where someone used a brain injury/illness and pregnancy in order to justify their (very recent) overstay. She's not even 30 days overstayed at this point, she has been ill and has a newborn baby. I've never known any new parent who was getting enough sleep during the first month after bringing a newborn home. So personally, I'm willing to give her the benefit of the doubt.
Further, my read is that she wants to fix her status issue. She might have made a very common inland mistake by not submitting a temporary status application along with her permanent status application, but that's hardly grounds for what seems like a rather harsh judgmental position. Further, she knows it's an issue and she wants to rectify it.
People seldom post all the details of their case on the forum here - they are looking for advice because they are scared or confused, exactly the times when people are not necessarily willing or able to share everything with us. That doesn't make them fraudulent, it makes them human.