"The description is a bit confusing. Samp is just an Algonquin word for hominy, which was transplanted to southern Africa along with the food product, and has stayed in use there. The term got replaced by "hominy" in American English, but both were used regionally.
"Hominy" is the treated corn product, while the "grits" part of "hominy grits" is specified because that's the small pounded/ground form. "Medium or coarse ground hominy" would be grits.
"Samp" now refers to coarsely cracked hominy, originally the stubborn bits that didn't crack into smaller pieces in traditional flour/grit pounding. This was also known as "big hominy", as opposed to "small hominy"--i.e., grits. It makes more sense if you've tried your hand at making and pounding the stuff. :)"