what did hughie propose, and how did the master and the children initially respond to it

In the short story "The Adventure of the Blue Carbuncle" by Sir Arthur Conan Doyle, Hughie proposes his theory about how the precious blue carbuncle might have ended up in the crop of a Christmas goose. He suggests that the gemstone was accidentally dropped into the goose's throat by a thief who had stolen it. Hughie deduces this after observing the goose's crop, which contains half-digested food and the valuable jewel.

Initially, both the master and the children express skepticism about Hughie's theory. The master argues that it is improbable for a thief to drop a gemstone into a live bird's throat. The children also laugh at the idea, thinking it unlikely that a goose could swallow something as valuable as a blue carbuncle.

However, the master still decides to consult Sherlock Holmes about the matter, as he believes that any possibility should be explored. The story then unfolds as Holmes investigates the blue carbuncle and eventually discovers the truth behind its presence in the goose.