Growing up we called it Carrom board, which is square board with 4 pockets in the corners. I never knew there was an American version of it as Crokinole board.
Canadian. I haven't played Carrom, but it's my understanding it's Indian in origin and plays a bit more like a billiards variant, even going so far as to use tiny pool cues.
I think there are few different variants of this game. I played the version with the tiny pool cues as a kid, but we called it Couronne. Looking at images online it seems the main difference between Carrom and Couronne is that in Couronne you hit the pieces with a cue and that the pockets are much bigger than in Carrom.