Not a “saving a baby” story but I have one that starts meowing loudly when my blood sugar gets low and won’t stop until someone does something about it. It has woke me up several times when I had fallen asleep so yes cats can and do save people. :)
I wonder if you make funny noises or something. I have no idea what woke me up when my husband's blood sugar tanked Easter Sunday, but he sounded like he was having a nightmare, and then I couldn't wake him up at all. It was down to 33 before the ambulance got him to the hospital, and the doctor said if I hadn't woken up, he wouldn't have.
Reminds me of the dogs which now can tell when someone will have a seizure, and take care of them until it is over. The one I had heard of mainly stayed to protect the unconscious man.