Cooke was born in Lancashire, and was educated by Philip Doddridge to be a dissenting minister.
[1] Cooke became physician to the Royal General Dispensary in Bartholomew Close, in the City of London.
In April 1784 he was elected physician to the London Hospital, a post he held for 23 years, and delivered the first clinical lectures given there.
It gives an account of the existing knowledge of hemiplegia, paraplegia, paralysis of separate nerves, epilepsy, apoplexy, lethargy, and hydrocephalus internus, without major innovations.
The method is comparable to that of his friend Thomas Young in his Practical and Historical Treatise on Consumptive Diseases (1815).