(William), the coadjutor of Pope in translating the Odyssey, was born in Cheshire, as is said, of very mean parents. He was educated upon the foundation at Eaton, and was captain of the school a whole year, without any vacancy, by which he might have obtained a scholarship at King's college. Being by this delay, such as is said to have happened very rarely, superannuated, he was sent to St John's college by the contribution of his friends, where he obtained a small exhibition. At this college he lived for some time in the same chamber with the well-known Ford, by whom Dr Johnson heard him described as a contracted scholar and a mere versifier, unacquainted with life, and unskillful in conversation. His addiction to metre was then such, that his companions familiarly called him Poet. When he had opportunities of mingling with mankind, he cleared himself, as Ford likewise owned, from great part of his scholastic rust. He appeared early in the world as a translator of the Iliads into prose, in conjunction with Ozell and Oldisworth. How their several parts were distributed is not known. This is the translation of which Ozell boasted as superior, in Toland's opinion, to that of Pope; it has long since vanished (Dr Johnson observes), and is now in danger from the critics. He was introduced to Mr Pope, who was then visiting Sir John Cotton at Madingley, near Cambridge; and gained so much of his esteem, that he was employed to make extracts from Eustathius for the notes to the translation of the Iliad; and in the volumes of poetry published by Lintot, commonly called Pope's Miscellanies, many of his early pieces were inserted.

Pope and Broome were to be yet more closely connected. When the success of the Iliad gave encouragement to a version of the Odyssey, Pope, weary of the toil, called Fenton and Broome to his assistance; and taking only half the work upon himself, divided the other half between his partners, giving four books to Fenton and eight to Broome. Fenton's books are enumerated in Dr Johnson's life of him. To the lot of Broome fell the second, sixth, eighth, eleventh, twelfth, sixteenth, eighteenth, and twenty-third, together with the burden of writing all the notes. The price at which Pope purchased this affiance was three hundred pounds paid to Fenton and five hundred to Broome, with as many copies as he wanted for his friends, which amounted to one hundred more. The payment made to Fenton is known only by hearsay; Broome's is very distinctly told by Pope in the notes to the Dunciad. It is evident, that, according to Pope's own estimate, Broome was unkindly treated. If four books could merit three hundred pounds, eight and all the notes, equivalent at least to four, had certainly a right to more than five. Broome probably considered himself as injured, and there was for some time more than coldness between him and his employer. He always spoke of Pope as too much a lover of money, and Pope pursued him with avowed hostility; for he not only named him disrespectfully in the Dunciad, but quoted him more than once in the Bathos, as a proficient in the art of sinking; and in his enumeration of the different kinds of poets distinguished for the profound, he reckons Broome among "the parrots who repeat another's words in such a hoarse odd tone as makes them seem their own." It has been said that they were afterwards reconciled; but their peace was probably without friendship. He afterwards published a Miscellany of Poems, and never rose to very high dignity in the church. He was sometime rector of Sturton in Suffolk, where he married a wealthy widow; and afterwards, when the king visited Cambridge 1728, became doctor of laws. He was 1733 presented by the crown to the rectory of Pulham in Norfolk, which Brooking which he held with Oakley Magna in Suffolk, given him by the lord Cornwallis, to whom he was chaplain, and who added the vicarage of Eye in Suffolk; he then resigned Pulham, and retained the other two. Towards the close of his life he grew again poetical, and amused himself with translating Odes of Anacreon, which he published in the Gentleman's Magazine under the name of Chester. He died at Bath in 1745, and was buried in the abbey church.