Cooke was born in Westminster, London, son of the organist and composer Benjamin Cooke; he succeeded his father as organist of the church of St Martin-in-the-Fields in 1793.
[1] On 22 or 23 August 1814 he drowned in the River Thames near Millbank; it was assumed to be suicide.
He was buried in the west cloister of Westminster Abbey.
[1][2] Cooke wrote an Evening Service in C (1806), and a collection of chants for the choir of the Abbey.
He also wrote an "Ode to Friendship", and several songs and glees, of which a collection of eight was published in 1805.