finally the confusion is solved:
chinese checkers is not chinese:
http://en.wikipedia.org/wiki/Chinese_checkers
chinese chess is chinese, and comes from the same ancient indian game as occidental chess:
http://en.wikipedia.org/wiki/Xiangqi#History
http://en.wikipedia.org/wiki/Chess#History
http://en.wikipedia.org/wiki/Chaturanga
btw, chinese chess is called 象棋:
象 = elephant
棋 = board game
and in the indian game, one of the pieces was the elephant, later converted to a modern chess piece