Check out the Honda cb300f. My girlfriend and I spotted it at the bike show yesterday here in Montreal. She felt very safe and comfortable in the seating position. I think this would be awesome bike for a begginer, which she is, and the price between 4000-5000 is very reasonable. We are actually going to the dealer today to see if they would take her sportster as an exchange.
I think that Lauri was looking to spend half that. His daughter likes the Ninja 250, which are plentiful at half to 1/4 the price of the cb300f.
Don't get me wrong, I think that the cb300f would be a great bike for her to start on, but, used for a first bike is a better way to go, that way, they can't get what they paid for it when she gets something else.