Joseph Barrow is not known to have travelled to the West Indies but was employed, like Dayes, Girtin and Hearne to work up or re-draw the sketches of other artists who had often travelled abroad. It is known that James Moore, F.S.A. was one of Barrow's patrons who employed him for this purpose.
Barrow had a successful career. He was elected a Fellow of the Society of Artists of Great Britian in 1790, and his highly admired sketching school numbered John Varley amongst its pupils. Barrow undertook a number of sketching tours around Great Britain in the company of Varley.
Eventually, however, Barrow ran into debt and died penniless.
Barrows drawings are rare, other examples can be seen in the Victoria & Albert and British Museums.