The asymmetrical base suggests Basswood or one of the other Lindens to me, but the leaf next to your hand seems far to big for any of them. But larger-than-normal leaves are often present on stump sprouts, as you might find after a fire. But going back to Paulownoia vs. Catalpa, I see the issue with the teeth on the leaf edges, which is more suggestive of Paulownia. And Paulownia does have quite a bit of leaf shape variation, from being Catalpa-like to almost looking like a maple. Perhaps we'll all live long enough to see it fruit, and nail it down!
