While there are... a few pictures in which she makes me want to wrap my arms around her and protect her from a world far too harsh for one so cute and sweet... it is more frequent for the reverse to be true. That is, I see her as a motherly figure. A wise old lady who's seen plenty in her time. Someone I could feel strangely safe with, in spite of her obvious vulnerabilities. I could fall asleep with her lying next to me slowly stroking my hair like a protective cat.
There is one more sense that I can think of, but it's difficult to explain... I feel almost like her peer. I've had an interest in Olivia pretty much since she first appeared, and I am just a little younger than her. At the time I first stumbled upon the whole mess I was as young and internet-naive as she was. I was only on 4chan because one of my older sister's friends sent me a link to it. So in a sense I almost feel like I've grown up alongside Cracky... when I was experiencing the usual woes of this age, she probably was too. I think the two of us are quite similar, and it's comforting in a way to know that... as hopeless and angsty as these last few years have naturally been - and still are - there is someone out there who could maybe relate*. Sure there are plenty of other depressed people, but they aren't the same. I really can't put this into words and I won't embarass myself fruther by trying.
*Although I have no doubt that her own personal trials have most likely been harder than mine.
This picture is one of the major 'mother' images for me... I can understand why others would see it differently, though.