Frederick Foster Gough (bapt. 7 February 1825 – 1 June 1889) was a Anglican Christian missionary who served with the Church Missionary Society during the late Qing Dynasty in China.
The second son of Ralph and Catharine Gough of Gosbrook House (later Gorsebrook House), Bushbury, Staffordshire, he was christened on 7 February 1825 at the church of Saint Peter, Wolverhampton, Staffordshire. He was educated at St John's College, Cambridge, where he obtained a BA in 1847 and his MA in 1853.
In 1848, he became a curate of St. Luke's, Birmingham. He married Mary Vigars LeMare, at Christ Church, Salford, Lancashire, on 4 April 1854; he was widowed seven years later when his wife died in London in early 1861. He then married Ann Marie, the widow of the Reverend John Jones who had been a missionary in Ningbo (Ningpo). They were married at Trinity Church, Bow, London on 15 November 1866. In 1882 he married yet again in Islington, London; the bride was Emily Bear.
He died on 1 June 1889 in Wolverhampton, Staffordshire..