Greg, I finally found the reference to the Moro Grays that I was hunting for. That was the original name of Co. A, 4th Arkansas Infantry (Capt. Joseph B. McCulloch). When thirteen-year-old Lucy Lorraine Adams presented the flag to the company in Calhoun County, it was called the Moro Grays, a reference to nearby Moro Bayou. However, since most of the company armed themselves with double-barrelled shotguns, the company adopted the name Calhoun Escopets, which was supposed to be a French word for that type of weapon.
As a matter of interest, the original name of Co. K, 4th Arkansas Infantry, was the Calhoun Bear Hunters (Capt. O. H. P. Black), but that name was dropped in favor of the more noble-sounding Calhoun Invincibles.