In 1709, he had commenced his medical studies, under Richard Mead, at St. Thomas's Hospital, and, in 1715, was elected to one of the first of the Radcliffe travelling fellowships.
At Lord Hervey's suggestion he was the first physician summoned to assist Dr. George Lewis Teissier in Queen Caroline's last illness.
[10] Dr. Stukeley, his countryman and fellow-student at St. Thomas's Hospital, reported that Broxholme "was a man of wit and gayety, lov'd poetry, was a good classic, … got much money in the Misisipi project in France.
At length he came over and practised, but never had a great liking to it, tho' he had good encouragem[en]t."[2] "He was always nervous and vapoured," wrote Horace Walpole, "and so good-natured that he left off his practice from not being able to bear seeing so many melancholy objects.
"[11] In 1755 Robert Taylor (1710-1762), royal physician, speaking of his exceptional intellectual and personal qualities, described Broxholme as an ornament to the Radcliffe award.
In his will he bequeathed £500 for the benefit of the king's scholars at Westminster 'in such manner as the two upper masters of the said school shall think fit,' and a similar amount to Christ Church 'to be applied towards finishing the library.