How would the great grandchild of an English Monarch be stylized?
It depends on when they were born and who their parents are. In recent years the only people to have the title HRH will be Children of the Monarch or of the Sovereign’s eldest son, etc. However the act is not retrospective so the youngest people to have the title HRH will be Prince Andrew’s daughter – Princesses Beatrice and Eugenie. The only Great-Grandchildren of Queen Elizabeth II to have the title HRH will be William’s children. After all four of the Queen’s (eight) grandchildren are not Princes or Princesses and two of them are technically commoners, the other two are titled but these are just courtesy titles.
You mean the British monarch. It depends which great-grandchild we are talking about here. For brevity, I will only discuss the great-grandchildren as others tend to get carried away with unrelated postings, copying and pasting at times things I helped to write. The eldest son of the eldest son of the Prince of Wales would be styled Royal Highness and titled “Prince” and would used the territorial designation of his father (“of Wales”, unless his father has a title such as duke of his own). Therefore if Prince William were to marry and have a son, this child (the oldest son) would be styled HRH Prince