I agree with Jan that the child is sitting on the balustrade and,although her dress is long-waisted, you can see that the ruffles of the skirt have been spread around her. Then her legs appear short, because the dress covers the bent knees.
Buttoned boots, probably patent, and definitely for best.
Lino was invented in 1860 by an Englishman, Frederick Walton, apparently; inventors.about.com/od/lstartinventions/a/linoleum.htm
I would have said tiles otherwise, but, in your close-up of the boots, you can't see any lines for tile edges.
What's more, the boots appear not to be quite touching the ground! I wonder if she's actually sitting on something like a stool and the balustrade is a cardboard cut-out behind her.
I'm also intrigued by her hair, because it's so short. If you Google Edwardian girls clothes, you find similar dresses - although with higher necklines - and boots but nearly always ringlets.
Was the person you think it was sickly in any way?