Baby toys did not exist in the west prior to the 20th century. That exception was baby rattles. They were made of silver and ivory so they more than likely only found their way into the tiny little hands of the wealthiest babies.
In the early 20th century, psychologists and experts began to give advice on toys that would assist in helping a child to develop. As parents began to pay more conscious attention to child development, some consumer products companies saw an opportunity and began creating toys for babies.
Let's look some of them:
Tom Tinker Bead Toy; Tinker Toy Company, circa 1920's
Silver and Mother of Pearl Baby Rattle, 1901
Wooden Baby Gym, circa late 1940's
Busy Box, Kohner Brothers , circa1960's