Beveridge was one of the bishops for whom the moderate Nonjurors had much regard. In most respects he was of their school of thought; and although, like Wilson of Sodor and Man, and Hooper of Bath and Wells, he had no scruple, for his own part, to take the oath of allegiance to William and Mary, he fully understood the reasonings of those who had. He greatly doubted the legality and right of appointing new bishops to sees not canonically vacant, so that when he was nominated in the place of Ken, he after some deliberation declined the office. He and Nelson saw a good deal of each other. They were both constant attendants at the weekly meetings of the Society for Promoting Christian Knowledge, an association which Beveridge zealously promoted,[67] and to which he left the greater part of his property. The minutes of the society refer to private consultations between him and Nelson for arranging about a popular edition in Welsh of the Prayer-book, and to the bishop distributing largely in his diocese a translation of Nelson's tract on Confirmation. They also frequently met at the committees of the Society for the Propagation of the Gospel. In his 'Life of Bull' Nelson speaks in terms of much admiration for Beveridge, whom he calls 'a pattern of true primitive piety.' He praises his plain and affecting sermons; and says that 'he had a way of gaining people's hearts and touching their consciences which bore some resemblance to the apostolical age,' and that he could mention many 'who owed the change of their lives, under God, to his instructions.'[68] Like Bull and Ken, the latter of whom was born in the same year with him, his life belongs chiefly to the history of the preceding century, for he died in 1707; his short episcopal career however lay, as was the case with Bull, only in the first decade of the eighteenth.