Luke, the first tree is abandoned, it would be impossible to find the owner I think, if you got closer you would have understood the condition it is in. If that is someone,s yard i would be really surprised, there is construction trash in the lot so i figured the business next to it might own it. If the apartments to the left of the tree owned the property I would expect there to be far less trash and more maintenance, it has not been mowed this year.
edit: half of the lot was mowed last week- 9/18, but not in front of tree? Probably too much trash for the mower. Also, I noticed that there used to be other buildings on the lot (enclosed alleyway on the remaining apartment building), and the company that owns the rest of that half block used to have a fence up, but the chain link has come down some time ago. I would feel bad about messing with someone's tree, but it is being crowded out by trees of heaven and was probably chopped along with everything else years ago (all the trees there are suckering). It did ok in the rainy season by the way, although nearly impossible to pick figs that are 15 ft. up.
The second tree pictured is actually up for sale or rent, with the house. It looks unoccupied at the moment.
Caney- Nope, just found these this season. I might be able to get the owner to take some pics of the ones you got later this season.