One of the earliest known examples is the mother of the legendary child star, Shirley Temple. John Ford, no lover of child stars himself, had to make a film with her. At the end of the shooting, he was so impressed that he nicknamed her as "Single Take Shirley!" The reason was her mother who would coach Shirley on her lines to perfection before she gave her take!
In the biopic made on Saina Nehwal, the badminton star, her mother is shown as giving the little girl playing Saina a stinging slap, as the child runs upto her & proudly announces that she has got second prize. The slap was for not coming first!
In the film adaptation of the classic "Three Men in a Boat", one comes across the most extreme Tiger Mother. The three men visit Bisham Abbey in Marlow, where there is a statue of Lady Hoby, who was a noted scholar in Greek, Latin & theology & expected her children also to be similarly brilliant. So she beat her little son to death for not doing his homework properly. The statue shows her kneeling piously with her other children, who presumably did their homework properly!