Thank you for replying with the requested location-info. Yes, the James Type 2 artillery projectiles are quite rare. They failed miserably in combat use, and were quickly discontinued. They are found almost exclusively in "Deep South" 1863 battle sites, most notably at the Siege Of Vicksburg and Vicksburg-related battles like Champion's Hill.
Unlike the James Type 1, the Type 2 usually retained its thick lead sabot after firing. I mention that because it might be difficult for you to find a photo of a sabotless James Type 2 projectile. But in my 40+ years as a civil war (and earlier) artillery projectile collector and dealer, I've seen a few James Type 2's missing their sabot (exposing the dovetail-shaped ribs/grooves), which is how I recognized your fragment.