In 1913 J. P. Morgan left Greene $50,000 () in his will. Asked if she was Morgan's mistress, Greene is said to have replied, "We tried!" Once, she recalled, Morgan asked if she might love him "if he were thirty years younger. I said no, I’d leave the library – he would be too dangerous – which seemed to please him. And then he said he never wanted to be younger except when he was with me and thought of me. I don’t doubt he has said that to every woman he knows but I love him just the same."