The King's Men, in 1603.
The Lord Chamberlain's Men became The King's Men.
Shakespeare was a shareholder in Lord Hunsdon's Men who changed its name to the Lord Chamberlain's Men, who later became the King's Men.
The theatre company to which Shakespeare belonged for most of his career started off as The Lord Chamberlain's Men, but when their patron changed from the Lord Chamberlain to the King their name changed to the King's Men.
the Globe
Hamnet
Ophelia
Pusssy
They got a new patron. Originally their patron was Henry Carey, the Lord Chamberlain. After Queen Elizabeth's death in 1603, their patron was the King, James I. All Elizabethan theatre companies were the name of the patron and then "Men"; when the patron changed, the name changed.
eyeball
William Shakespeare
Hathaway
Her name was Susanna.