Well, I am an "expert" (not really)on the topic (my life long dream was to be a herpetologist and therefor I spend a lot of time reading journal articles on alligators) and mamma alligators are exceptionally gentle with their babies. In fact, alligators spend the first 2 years of their lives under their mom's protection. When they hatch, she comes and digs them out of their nest and gently carries them to the water with a level of grace and dexterity that is shocking given their immense size and power.
I did lake management for a while when I lived in Sarasota. Had plenty of run ins with gators but never saw in babies with their mammas. Which is probably a good thing based on how protective they are.
I don't have emotions, and sometimes that makes me very sad.