The first three I mentioned, Julia Margaret Cameron, Gertrude Kasebier, and Chansonetta Stanley Emmons, I admire for their work made with such a new medium.
Kasebeier and Emmons made images that revolved around marriage, children and family.... my personal favorite subject for the moment. I refer to their work a lot through a couple of out of print books, as they are both hard to find on the web. I think Kasebier felt somewhat constricted within her own marriage, and as a mother. Her feelings on the matter are pretty clear in the photographs. She was a photographer very much of her time in terms of technique, which was very painterly, but she had a modern sensibility the way women (and men) should live within the context of family life. Her sitters look engaged, and full of life. Kasebier I supect, was very engaged in her art, and found the mores and expectations of her time difficult to reconcile with her own passions.
Emmons was a young widow, and she recorded images of rural life in Maine. She photographed the farmers shucking corn, widows in their kitchens, children walking to school, and she did it eloquently. It's a rare body of work that is an amazing, and rather rare document to early 20th c. rural life in the U.S.
Cameron... I admire her ability to put a pair of wings on a child, and make a poignant image, that doesn't sentimentalize that child or become too cute. It's such a cliche image, now, and plenty of children's portrait photographers put these adorable little wings on their subjects, and it somehow takes away from WHO that child really is. Heck... if I were to do that, I'd probably end up with an over sappy, and way too "cute" portrait! With that said, I do find some of her tableaux of biblical stories with, say, three models a little forced.
Another from my list... Helen Levitt... what can I say? No one has managed to capture the exuberance and physical pleasure and pain of childhood quite as well as she has. Not to mention... her unique view of the incredible bustle that are the streets of NYC.
And to answer your question, Nicole.. I'm not interested in copying these women photographers, but I aspire to make photographs that move me, as I've been moved by theirs, and I hope to bring the same level of passion and commitment to my work as they brought to theirs.
I have a several more names on my list, and if I get a minute later, today, I will add a few thoughts on some of them