What sort of numbers are the highs you are correcting for? What correction dose are you giving? When you are correcting, how long after the last meal and bolus dose is it? What is she up to after a correction dose? I'm assuming at 2 years old she's unlikely to be sitting stock still for any extended period, there's likely to be quite a lot of toddling going on.
Have you got a half unit pen? I'd avoid corrections that are causing hypos, because those are, quite obviously, over correcting.