Gee, this is a lot more fun with friends around.
I know Ohio trees, but you've got those weird tropical species down there in Florida!
Yet another thing to make this whole thing tricky is that I don't know if these plants are native are not. While walking around trying to identify trees yesterday, I noticed that there were certain trees evenly spaced around each side of my apartment complex - one side had the bottlebrush trees, another had these - so I definitely know that they're planted, not naturally occurring. . If the bottlebrush trees were brought all the way from Australia, who knows where this other tree is from! I'm guessing Zimbabwe.
What you have is bi-pinnately compound, or compound odd-pinnate, depending on whom you talk to, and the leaves are completely toothed.
My book calls them bi-pinnate. It doesn't seem like there are tons of trees with bi-pinnately leaves which you would think would make it easier to narrow down but my book only has two that are both bi-pinnate and toothed.
Can you give me a few more hints about it:
1. Does it have any stickiness on the front, back or edge of the leaf?
2. Does it have a distinct aroma when crushed?
3. Can you find any old seed pods around the base of the tree?
4. Are the leaves at all hairy, fuzzy or suede-like?
Nope, nope, nope, and nope. And no spiky bits either, Tosh. The texture and smell are both standardly leafy. I did notice two more distinct things though. One is that the leaves all grow in bunches at the end of the branches. Aside from the big bunches at the end, the branches are completely bare.
And second, I noticed that there are a lot of what looked like dangling bunches of small, still very unripened fruits: