Graves succeeded William Jones Boone to served as the fifth missionary bishop of the Anglican diocese of Shanghai from 1893 to 1937. Graves assisted in the organization of the Chung Hua Sheng Kung Hui, and served as chairman of its House of Bishops from 1915 to 1926. Due to his position as a bishop, he had heavily involved in the administration of St. John's University, Shanghai. He was succeeded by William Payne Roberts.
Graves participated in the consecration of a number of other bishops, including
- Daniel Trumbull Huntington
- William Payne Roberts
- James Addison Ingle
- Sidney Catlin Partridge, first Bishop of Kyoto
- Wang, Peter Chen-main (2007). "Bishop F. R. Graves and China in the 1920s". Contextualization of Christianity in China : an evaluation in modern perspective. Wang, Peter Chen-Main. Sankt Augustin: Institut Monumenta Serica. pp. 153–181. ISBN 9783805005470. OCLC 213468068.
- Wickeri, Philip (2017-02-02). Strong, Rowan (ed.). "Anglicanism in China and East Asia, 1819–1912". The Oxford History of Anglicanism, Volume III. doi:10.1093/acprof:oso/9780199699704.001.0001.
- CSCA Chung Hua Sheng Kung Hui Source Documents
- Historical documents on Anglicanism in China from Project Canterbury
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