OK, So I am not a cat person (allergic), but this story does not sound cute to me!!! (Likewise the Siamese jumping on the Mom part- is it any wonder the poor woman was a cat hater?!!!!)
Do they play with other cats this way in nature though? I'd be reading up on cat psychology and making sure I reacted in the top cat manner in that game..... or else bringing in a different sparring partner for her. (Ah-tchoo!)