Today I visited the nearby Jenkins Arboretum, which I heard has a paw-paw tree, to see if it has any fruit. Indeed there is a tree, and it is fairly large with the largest trunk about 6in diameter and many weedy watersprout trunks. The leaves are already yellow, and I couldn't find any trace of fruit on the tree or anywhere on the ground near it. Maybe I am too late in the season for it? The photos on the arboretum website show fruit, I assume they are from this tree and not a stock photo. I only saw this one one tree, though, maybe it isn't really fruiting and it needs a partner for pollination. Also, I would say this tree is in at least half shade as the arboretum is basically a woods.
Meanwhile, all of the small pawpaw seedlings I purchased when I started this thread have died. This spring I found a couple of larger pawpaw seedling at a nursery that already had 1/2in diameter trunks and planted them in nearly full sun in my yard. One seemed to stuggle a bit, the other looks very healthy as the growing season ends.