Lizzie with Judith reminded me a bit of the scene in MASH where a Korean woman ended up smothering a baby because it was crying and they were going to be caught by a North Korean patrol. I'm trying to remember the context, but I think Hawkeye was with them and was the one who told the Mother to keep the child quiet, but didn't realize she had killed the child and it ended up causing him to have a mental breakdown. Anyway, seeing what Lizzie was doing I really think the whole Carol 'covered' for Lizzie thing is legit. She probably felt somewhat responsible for how she trained/taught Lizzie to survive and that's why she took the blame for the deaths of Tyrese's gf and the other person. I don't think Lizzie would have been able to drag both bodies out so it was likely Carol who discovered Lizzie killed them in the infirmary and then Carol dragged them out and burned the bodies.