Well the first one looks like a Chinaberry seedling.

Could very well be... after looking up images of Chinaberry Trees, I think there might be 4 or 5 full grown trees in my neighborhood. Thank you.

Okay, since you are in Florida, the second picture is most likely Clerodendrum indicum (syn. Siphonanthus indicus) aka Turk's Turban, a very prolific, invasive introduced species from southeast Asia. It moves by birds and also by underground rhizomes. The long, tubular white, fragrant flowers are pollinated by moths and butterflies. Arresting turquoise seeds surrounded by red sepals follow, but beware--each is fertile!

Here is a link that might be useful: Turk's Turban

At first I was about to dismiss that suggestion off-hand. I did a search for Turk's Turban and looked at images and the first dozen or so looked nothing like this. But then there was one picture of Clerodendrum sahelangii, which was also called Turk's Turban. This one looked closer to what they have. However, I do not recall ever seeing flowers on these things. But then, I don't spend much time at all looking in the direction of their house. I'm not here to bash on my unsuspecting neighbors... but... *shudder*. I'll have to try and pay a little closer attention to the plants themselves and see if they put out flowers before dying off this year. That said, your invasive comment makes sense. These things are starting to pop up everywhere.