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After Malcolm II of Scotland died at Glamis, Duncan, the son of his second daughter, rather than Macbeth, the son of his eldest daughter, inherited the throne to become the King of Scots.

Malcolm II of Scotland

King of Alba from 1005 to 1034

Máel Coluim mac Cinaeda was King of Alba (Scotland) from 1005 until his death in 1034. He was one of the longest-reigning Scottish Kings of that period.
Source: Wikipedia (CC BY-SA)

Glamis

Human settlement in Scotland

Glamis is a small village in Angus, Scotland, located 5 miles (8 km) south of Kirriemuir and 5 miles (8 km) southwest of Forfar. It is the location of Glamis Castle, the childhood home of Queen Elizabeth the Queen Mother.
Source: Wikipedia (CC BY-SA)

Duncan I of Scotland

King of Alba from 1034 to 1040

Donnchad mac Crinain was king of Scotland (Alba) from 1034 to 1040. He is the historical basis of the "King Duncan" in Shakespeare's play Macbeth.
Source: Wikipedia (CC BY-SA)

Macbeth, King of Scotland

Scottish king from 1040 to 1057

Macbethad mac Findláech, nicknamed the Red King, was King of Scotland from 1040 until his death in 1057. He ruled during the period of Scottish history known as the Kingdom of Alba.
Source: Wikipedia (CC BY-SA)

List of Scottish monarchs

Scottish monarchs until 1707

The monarch of Scotland was the head of state of the Kingdom of Scotland. According to tradition, Kenneth I MacAlpin was the founder and first King of the Kingdom of Scotland.
Source: Wikipedia (CC BY-SA)