Well, shucks. A brief web search informed me that the paper mulberry, while edible, is not considered an actual "fruit tree."
They also come in male & female specimens, and propagate via seed, suckers, or damaged root pieces (per Wikipedia); though wiki didn't mention the nitrogen.
*Thinking out loud*
I suspect the 2 I dug up are likely the same gender, as they were growing in the same place, but there must be trees of each sex in the area since there's, what I assume are paper mulberries, widely distributed across 7 acres (that I've explored), though I haven't seen a mature tree (yet).
On the plus side, any fruits I do get should be able to supplement
feed for the pigeons, doves, poultry, and pigs. Plus the leaves as forage material (allegedly up to 20% protein - dry matter). Then there's the nitrogen fixing a biomass for mulching to consider, so I suppose, for now, the positives outweigh the negatives for letting them grow; particularly since 2 of my annual goals are to produce more biomass & animal food on-site. If they try to "run" via suckering, I can always set up a paddock around them and let them pigs & geese take care of it.
But I sure was hoping for a free fruit tree...
Does my plan sound feasible to y'all?