The United States of America is the only country with a tooth fairy who exchanged money for teeth.
Most “milk teeth” traditions do indeed originate from the eastern hemisphere, but the concept of a winged humanoid trading money for teeth is originated in North American culture.
"The tooth fairy grew slowly in popularity over the next few decades. The Tooth Fairy, a three-act playlet for children by Esther Watkins Arnold, was published in 1927. Lee Rogow’s story “The Tooth Fairy” appeared in 1949 and seems to be the first children’s story written about the tooth fairy. She became widely popular from the 1950s onward, with a veritable eruption of children’s books, cartoons, jokes, etc., including more focus on children’s dental hygiene.”
Where as other older cultures had a mouse or rat (France and Spain) or disposed of the “milk teeth” in varies ways as to prevent bad luck or witchcraft.