...well I think out mystery tree with the berries may be a Mulberry Tree of one sort or another. I have more checking to do, and will bring some leaves (and a berry if I can still find one) to a local plant nursery to see what they think; but from online checks I would say it is a Mulberry. If that is correct, then we have to await next season (late spring into early summer) for any berries. They are supposed to be delicious and quite edible. I don't know what kind of Mulberry tree it could be, there are many different species, maybe a Red Mulberry which would make it native to our area; then again maybe one of more than a dozen other types of Mulberry Tree.
While I am not sure it is a Mulberry Tree but it does have some characteristics of one. For example it has both lobed and unlobed leaves. It has a bark that fits the description I read about. It is fast growing in its early years - to that I can attest. Its flowers, as I remember, look like ones I have seen pictured for a Mulberry tree. Of course, it also produces the berries.
If that is truly what it is, then I expect a load of berries next year, and double that within about another 2 or 3 years because we have another younger one growing also. I uprooted and replanted the sapling of the younger one just last year, and it is already about 10-12 feet tall. From inches to that tall in less than two complete growing seasons. That follows suit with what I have read up on Mulberry trees, fast growing when very young, then the growth slows down markedly. Our older tree has got to be at least 5 , maybe as much as 7 to 10, years old. I used to cut it back every summer thinking it was just a bush that annoyed my neighbor because its branches overgrew her fence.
Once I realized it was a tree, I became very selective about how I pruned it. It is kind of messed up now as far as how its branches twist here and there, but it sure produces a lot of berries, and offers some cool shade. I recently pruned the other one - heck they have branches sprouting out every few inches along the trunk, and I am hopeful that one will grow straighter and taller with even more berries. If they actually are Mulberry trees, I will be berry pleased indeed.
All the best,
Glenn B