To find the overall change in Leslie's score during Level 2, we need to first consider the points she lost and the points she gained.
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Leslie lost 22 points from the storm: \[ -22 \text{ points} \]
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Leslie gained 34 points from finding more treasure: \[ +34 \text{ points} \]
Now, we can calculate the overall change in her score by adding the points she gained and the points she lost: \[ \text{Overall change} = \text{Points gained} + \text{Points lost} \] \[ \text{Overall change} = 34 + (-22) = 34 - 22 = 12 \]
Thus, the overall change in Leslie's score during Level 2 is: \[ \boxed{12} \text{ points} \]