We call it "blasting" at Fenton, but we don't use sand. I don't know what was used in the late 19th/early 20th centuries in the US, but the examples I've seen of crystal tumblers with blasted designs are fairly rough looking.
We use aluminum oxide crystals that are graded into various levels of grit (much like sandpaper). After we blast an item all-over, it's washed and rinsed and placed in an ultrasonic bath. Nonetheless, the surface doesn't get to that silky feel we got with acid, a process we halted in 1990.