When did Iroquois play the peach pit game?

The term "peach pit game" is not a known or documented game played by the Iroquois, or any other Native American group. It's possible this is a misremembered name, a fictional game, or a game specific to a particular region or group within the Iroquois Confederacy that hasn't been widely documented.

If you could provide more context about where you encountered this term, it might be possible to identify the game or the source of the information.