[1] He was the son of Paul Brasier and Sarah Beresford, daughter of Sir Tristram Beresford, 1st Baronet and his second wife Sarah Sackville.
His father was a Royalist who fought for King Charles I of England during the English Civil War, and after the Restoration of Charles II received grants of land in County Londonderry and County Donegal.
Brasier was educated at Trinity College, Dublin.
[4] He married Anne Brooke, daughter of Sir Henry Brooke of Brookeborough and his second wife Anne St George and had an issue.
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