Bilbo-Catcher or Bilboquet

Also known as a bilboquet or bilbocquet, the bilbo-catcher is a toy of the cup & ball family, where the ball is tossed and must be caught on the tip of the spindle by a hole drilled in the ball.

Bilbo-catchers were included in the "curious" assortment of toys advertised by early American merchants, and still described as a favorite in children's books through the late 19th century. Famously played by historical figures ranging from King Henry III of France to Jane Austen, it is a game played under many different names in all parts of the world.

One of the earliest games played by American children . . . was "cup and ball". In the mid-eighteenth century Charles Shipman, an ivory and hardwood turner from England, advertised cups and balls (The New York Journal or General Advertiser, August 6, 1767). Cups and balls came to England from France where it was known as bilbocquet. It had been a favorite pastime at the court of Henry III, and a late sixteenth-century French print labeled "La foire franche des Bilbocquets de plus al la mode" shows men, women, and children playing the game.
McClinton, Katherine Morrison. Antiques of American Childhood, 1970, p.202

Jane Austen was successful in everything that she attempted with her fingers.  None of us could throw spilikins in so perfect a circle, or take them off with so steady a hand.  Her performances with cup and ball were marvellous.  The one used at Chawton was an easy one, and she has been known to catch it on the point above an hundred times in succession, till her hand was weary.  Austen-Leigh, James Edward. A Memoir of Jane Austen, 2006. https://www.gutenberg.org/files/17797/17797-h/17797-h.htm p.98

 Images:
https://commons.wikimedia.org/wiki/File:Portret_van_een_meisje_met_bilboquet,_RP-P-1944-3021.jpg
Rijksmuseum, CC0, via Wikimedia Commons

https://commons.wikimedia.org/wiki/File:Bole_Jeanne_L_Enfant_Au_Bilboquet.jpg
Jeanne Bôle, Public domain, via Wikimedia Commons