My bad, I think after looking at mine again...I think yours is papaya,it is just a different variety, on our walk tonight I looked in our yard at ours (mystery bush)and then my neighbor's 6 mystery tree bushes and they are more woody barked. Sorry for the bad trail...I sure wish I could figure out what that bush is though. I have my sister on the hunt also. They remind me of Castor bean tree but aren't. I may post it and ask someone to identify. There is a site on my facebook feed. This is the one in my yard

And here is one of my papayas
Oh and my husband was no help he just said he saw one in the neighbors yard! LOL
Have a great night!
Melissa