That most certainly is Maclura Pomifera. It is of the Mulberry family. Horse apple, hedge, hedge apple, bois d'arc (french for "bow wood"), bowdark, bordark, a few other names, are all synonyms for Osage orange. I have made literally hundreds of self and backed bows from Osage and know of no finer wood for the shorter bows. I often have to trade our Pacific Northwest Yew wood for quality Osage staves and billets (Osage is not native here). The tree was highly prized by the Native Americans for a number of uses but mostly for bow making. The farmers and ranchers prized the Osage for fence post, tool handles (I use it for this too), wooden spokes, etc.
The fruit (often called "monkey brain", "green brain", etc.) can create several health hazards around livestock and humans. Claimed to keep a variety of pests out of barns, basements, etc., when spread about, I have had no such luck with the fruit that I experimented with.