All three find their own measure of "success," although each must undergo hardship before they can attain it. You are right to qualify the term "success" with "by their own standards," since success means different things for each. Lena values her independence and eventually becomes a successful dressmaker in San Francisco. Antonia values family, and although she is abandoned by her first lover and has an illegitimate child, she eventually marries a good Czech man and has a thriving farm. Tiny values adventure, and finds it (and her fortune) in the Klondike. She returns to San Francisco a rich woman, although, as Jim remarks, she "was like someone in whom the faculty of becoming interested is worn out.” Each woman makes her own choices in life, and their differing levels of success serve to point out how important the independence they enjoyed in Black Hawk was in shaping their characters.