Erm, board length isn't determined by height, it is determined by weight.
The shortest adult boards you can get are, I think 138-140 cm. I don't know much about kids' boards, but it seems like a rather bad idea for an adult.
My advice is, look for a good park board and get it in the shortest size available, if that's what she wants. For women's boards, that will reliably be around 140cm, maybe a little less.