no carol is not dead. it seams though through the episode. the group did not know weather she was dead au alive until daryl finds her. and also infact in the comic she does die and Sophia lives. but I don't know y they changed it around and im glad they did. im glad I could answer your question
No,she did not die Rick just let her go because she killed 2 other people. After that she found Tson and the 2 girls and the baby kick punda .Then in season 5 she found RICK AND THE OTERS and got them out and they wee happy to see her and the baby aspessaily Darlyn the she gave the baby and rick and carl was happy .