She was one of the most beautiful and best actresses ever. But what a messed up personal life. They say the one man she was crazy about was Montgomery Clift (who liked men). In later years she went overboard with booze and pills. She seemed, like a lot of big stars from that era, to be really lonely. Normal folks have a support system of family & friends. Famous people always have to wonder if friends are friends, or just hangers-on.
Her greatest early love was producer Mike Todd, who died tragically in a plane crash not too many years into their marriage. Liz was supposed to be on the plane with him but she had the flu and decided at the last minute not to go. Obviously Burton was her other great love. She was great friends with Monty Clift (who by the way is related to Eleanor Clift) and in fact when Clift had a terrible car accident driving from a dinner party at Liz's house, Liz was first on the scene and pulled many of his teeth from his throat, probably saving his life. I doubt she was ever lonely, but like many in her era she drank to excess and took pills to ease chronic pain. She always had back pain because as a child actress she did her own riding in National Velvet, and was thrown very brutally. That started her lifelong back problems.