Was the current Queen of England formerly a princess (i.e. the daughter of a king)? Will her children have her surname or her husband’s surname?

Queen Elizabeth II is the eldest daughter of King George VI. She also has a sister named Margaret.

The Queen's surname is Windsor, and her husband, the Duke of Edinburgh, is surnamed Mountbatten. The Queen does not take her husband's surname. Her children should also be named Windsor. However, out of respect for her husband, the Queen gave the children the surname Mountbatten. -windsor, which is the combination of the two surnames, but the queen's surname is still the main one