My regular carry traditional, (aside from a SAK Huntsman), is a J. Russell Green River Knife Works congress knife. Stamped solingen (getmany), Great for carving with 4 different blades, (green river trademark currently owned by Dexter Russell I believe, who specializes in kitchen Cutlery mostly, someone correct me if I'm wrong).
But anyways, the action on it is tight, in both the half open and open position it is nice and firm for a slip joint. But that said, while it reduces risk of accidental closure while using, since it would without a doubt catch itself in the half open position before closing fully, it also snaps shut when you are actually closing it and it catches. Closed it one handed a couple weeks ago and the very tip caught my finger when it snapped shut, like a deep paper cut.
Either way its s great knife. Carbon blade. With a small pocket Arkansas stone she can also begin to learn the art of sharpening.

Great knife though, cost something like $25-30?
A cheaper route would the china made rough riders in 440a, actually decent knives for the price, and for a 9 year old girl they have s slew of handle options/colors to suit her fancy.