Queen Elizabeth II of the United Kingdom and Empress Elizabeth of Russia, also known as Elizabeth of Russia or Elizaveta Petrovna, were not directly related. They lived in different centuries and belonged to different royal families.
Queen Elizabeth II was a member of the British royal family, specifically the House of Windsor. She was the daughter of King George VI and Queen Elizabeth The Queen Mother.
Empress Elizabeth of Russia, on the other hand, was a member of the Romanov dynasty. She was the daughter of Peter the Great and Catherine I of Russia. She ruled as the Empress of Russia from 1741 until her death in 1762.
While both were prominent female monarchs in their respective countries, there is no direct familial connection between Queen Elizabeth II and Empress Elizabeth of Russia. Their reigns were separated by nearly two centuries, and they belonged to entirely different royal lineages.