Since the conquest, only 8 English-Great British Monarchs - & 6 Scottish-Great British Monarchs - were children of a monarch and grandchildren of (at least) two monarchs:
United Kingdom
1) George V, son of Edward VII & Alexandra of Denmark, grandson of Victoria & Christian IX of Denmark.
Kings of England & Scotland
2) & 3) James II & Charles II, sons of Charles I of England & Scotland, grandsons of James VI & I and Henri IV of France
4) Charles I, son of James VI & I, grandson of Mary Queen of Scots & Frederick II of Denmark.
Monarchs of England
5) Mary I of England, daughter of Henry VIII & Catherine of Aragon, granddaughter of Henry VII and Isabel I of Castille & Ferdinand II of Aragon. Mary I is the only monarch on the list who can number 4 anointed monarchs among her parents & grandparents.
6) Henry VI, son of Henry V and Catherine de Valois and grandson of Henry IV & Charles VI of France
7) Edward III, son of Edward II & Isabelle of France, grandson of Edward I & Philippe IV of France
8) Edward II, son of Edward I and Eleanor of Castille, grandson of Henry III & Ferdinand II of Castille.
Disputed
Empress Matilda was daughter of Henry I & Matilda of Scotland and granddaughter of William I & Malcolm III of Scotland.
Monarchs of Scotland
5) James V, son of James IV and Margaret Tudor, grandson of
James III & Henry VII of England
6) James IV, son of James III and Margaret of Denmark, grandson of James II & Christian I of Denmark
Disputed
Margaret, the Maid of Norway, daughter of Eric II of Norway & Margaret of Scotland, granddaughter of Magnus VI of Norway & Alexander III of Scotland
United Kingdom
1) George V, son of Edward VII & Alexandra of Denmark, grandson of Victoria & Christian IX of Denmark.
Kings of England & Scotland
2) & 3) James II & Charles II, sons of Charles I of England & Scotland, grandsons of James VI & I and Henri IV of France
4) Charles I, son of James VI & I, grandson of Mary Queen of Scots & Frederick II of Denmark.
Monarchs of England
5) Mary I of England, daughter of Henry VIII & Catherine of Aragon, granddaughter of Henry VII and Isabel I of Castille & Ferdinand II of Aragon. Mary I is the only monarch on the list who can number 4 anointed monarchs among her parents & grandparents.
6) Henry VI, son of Henry V and Catherine de Valois and grandson of Henry IV & Charles VI of France
7) Edward III, son of Edward II & Isabelle of France, grandson of Edward I & Philippe IV of France
8) Edward II, son of Edward I and Eleanor of Castille, grandson of Henry III & Ferdinand II of Castille.
Disputed
Empress Matilda was daughter of Henry I & Matilda of Scotland and granddaughter of William I & Malcolm III of Scotland.
Monarchs of Scotland
5) James V, son of James IV and Margaret Tudor, grandson of
James III & Henry VII of England
6) James IV, son of James III and Margaret of Denmark, grandson of James II & Christian I of Denmark
Disputed
Margaret, the Maid of Norway, daughter of Eric II of Norway & Margaret of Scotland, granddaughter of Magnus VI of Norway & Alexander III of Scotland