I'm pretty sure there are male and female trees with only the females dropping fruit. I saw a big female osage in a front yard yesterday with more fruit on the ground than I'd ever seen under a single tree. They were hauling off wheel barrel loads of the hedge apples and you could barely see the grass under the entire tree, probably a 50' diameter circle. I wondered if I couldn't have gotten permission to cut that one out if I'd asked right then? Anyway, that tree you have looks awesome, real thin sapwood and thick rings. Should make good bows.
George