Forbidden Fruit

There is a fence you cannot see in the photo below.  It's directly below the dangling fruit  The fence is in our side yard. The tree?  That's actually on the other side of the fence, our neighbors side yard. The fruit sort of hangs in between. So the question is, whose fruit is it?  The other question is, what sort of fruit is it?
I'll address the second part first.  Here in Florida I'm finding that oranges tend to be the size of grapefruit, grapefruit the size of volleyballs. Ok a slight exaggeration but only slight. The point being, it's hard for me to tell, just by looking, what sort of fruit this is.  Could be an orange or grapefruit, but it's equally possible that it's something completely different.  I have found in the local farm market varieties of produce I've only heard of  such as Dragon Fruit and PearApples (or is it ApplePears?) and actually things I've never heard of like Bitter Melon (is it actually bitter?  If so, why would anyone eat it?). Therefore it's entirely plausible that this is something exotic that I know nothing of. Or perhaps, it's not edible at all, like the tiny orange fruits from a couple of the palms in our yard that drop primarily in the  courtyard and driveway, but nobody, not even the squirrels will eat. All that said, I'm desperately curious!  What is it?
Now back to the first question, whose is it?  The tree obviously belongs to the neighbor.  It sits squarely on the other side of the fence.  Some of the branches however, hang without question on our side of the fence.  And the fruit in question hangs pretty much on the midline between the two. Maybe a teensy bit more toward our side.  Now I'm not a thief.  Anyone who knows me would agree that I am honest to a fault. I'm not just going to creep outside in the dark of night and steal that...whatever it is.   I could just go over and ask the neighbors about it, but there is this gate. And not just a gate but a gatehouse. I have no idea if the people who own the house are actually there. Ever. Never met them. Never even seen them. But there are people who live in the gate house. Maybe they are employees of the bighouse people. Maybe they are just renters. Who knows?  Perhaps I'll get my courage together and go knock on their door. And then what will I say to them, "Regarding the fruit that is practically on my property?  What is it? May I try that one?"  I don't know, it sounds .....odd.
And what am I to do about this mystery?  I don't know. But if you hear of some lady in Florida arrested for fruit rustling, it's probably me.