tomatillo is very different from a ground cherry -- generally much larger, like pingpong-ball size or bigger, and not overly sweet even when ripe (usually used before dead ripe though... for green salsas, etc). I don't think they're "native" to any cuisine other than mexico/central america.
ground cherries are small, pretty sweet, and used ripe for pies, preserves, that sort of thing. They are traditional in various cultures including the Pennsylvania Dutch.
"husk tomato" I dunno.
There is something else that's sort of like a ground cherry but not exactly (in a seed catalog and culinary sense, I mean - no idea about botanical identities) but I am blanking on what it is at the moment.
I am told that the "poha" jam you can get in Hawaii is made from a type of ground cherry. It is very tasty.
Pat