Bullingham married firstly Margaret Sutton (d.1566), daughter of Hamond Sutton of Washingborough, Lincolnshire, by whom he had two sons, Francis (1553–c.1636) and Nicholas (1566–1639), and two daughters, both named Susan, who died in 1561 and 1564 respectively.
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The Book of Advertisements was a series of enactments concerning Anglican ecclesiastical matters, drawn up by Matthew Parker, Archbishop of Canterbury (1559-1575), with the help of Edmund Grindal, Robert Horne, Richard Cox, and Nicholas Bullingham.