Bradbury's name next occurs in 1681, when he was one of two trustees of the marriage settlement of one of the Carys of Tor Abbey. His position in his profession must consequently have been considerable, and in December 1688, when the chiefs of the bar were summoned to consult with the peers upon the political crisis surrounding the succession to the throne, Bradbury was among the number. In the July of the year following he was assigned by the House of Lords as counsel to defend Sir Adam Blair, Dr. Elliott, and others, who were impeached for dispersing proclamations of King James. The impeachment was, however, abandoned. On 9 July, upon the death of Baron Carr, he was appointed to the bench of the court of exchequer, and continued in office until his death, which took place 12 February 1696. The last judicial act recorded of him is a letter preserved in the treasury in support of petition of the Earl of Scarborough, 19 April 1695.