Although what you have may well be Inuit-carved (if it’s ivory rather than resin), it has nothing to do with their culture. It’s what’s known as a “Billiken”… an imagined figure claimed to have been seen in a dream by the American art teacher and illustrator Florence Pretz of Missouri. She patented the design on 6th October 1908, taking the name “Billiken” from Bliss Carman's 1896 poem “Mr. Moon: A Song Of The Little People.”
She then commercialized it, selling all manner of objects using the figurine design as a good luck totem via the Billiken Company of Chicago: chalkware figures, dolls, moneybanks, jewelllery, lucky tokens, postcards and other items. The chalkware figures were also later sold with a throne that carried the motto "The God Of Things As They Ought To Be" around the base.
To buy a Billiken was said to give the purchaser luck, but to receive one as a gift would be better luck. The concept became a worldwide craze for several years and then faded into obscurity, although Billiken has been adopted as the official ‘God’ of the ‘Church of Good Luck’.
In 1909, Billikens began appearing in the souvenir shops of Alaska after an Eskimo carver in Nome called Angokwazhuk loosely copied it in ivory, based on one that had been given to him by a merchant. By the 1960s it was ubiquitous in larger Alaskan cities like Anchorage, and heavily touristed areas. These souvenirs were often accompanied by a little printed card that contained a largely invented history of Billiken and what he represented.
Here’s a couple of examples. The earrings are from the 1950s and the standalone carving perhaps somewhat older, but no earlier than 1909.
