This is apparently the James Bannister who reviewed poetry and divinity for the Monthly Review 1794-1801. Some verses by him in the Bath Herald for 12 March 1796 indicate that he had been in Portugal. Bannister has several poems in the Gentleman's Magazine.
Select tragedies of Euripides, translated. 1780.
A view of the arts and sciences, from the earliest times to the age of Alexander the Great. 1785.
A translation of the Pythian, Nemean, and Isthmian odes of Pindar. 1792.
Directions for the study of Divinity. 1802.