Hmm! Not sure that Carya ovalis is correct.
http://dendro.cnre.vt.edu/dend...
According to the site above..".Fruit: Nearly globose, 1 to 1 1/2 inches, with a thin husk that mostly splits to base upon maturation, nut is not ribbed and the seed is usually sweet, matures in early fall."
But I am only familliar with a couple of Carya and am rather rusty.