The melody is by W.H. Monk,
William Henry Monk was born in London on 16 March 1823.
By age 18, Monk was organist at St Peter's Church, Eaton Square (Central London). He left after two years, and moved on to two more organist posts in London (St. George's Church, Albemarle Street, and St. Paul's Church, Portman Square).
He spent two years in each. Each served as a stepping stone toward fostering his musical ambitions.
In 1847, Monk became choirmaster at King's College London. There he developed an interest in incorporating plainchant into Anglican services, an idea suggested by William Dyce, a King's College professor with whom Monk had much contact. In 1849, Monk also became organist at King's College.
In 1852, he became organist and choirmaster at St Matthias' Church, Stoke Newington, where he made many changes: plainchant was used in singing psalms, and the music performed was more appropriate to the church calendar. By now, Monk was also arranging hymns, as well as writing his own hymn melodies.
In 1857, his talents as composer, arranger, and editor were recognized when he was appointed the musical editor of Hymns Ancient and Modern, a volume first published in 1861, containing 273 hymns. After supplements were added (second edition—1875; later additions or supplements—1889, 1904, and 1916) it became one of the best-selling hymn books ever produced.
It was for this publication that Monk supplied his famous "Eventide" tune which is mostly used for the hymn "Abide with Me", as well as several others, including "Gethsemane", "Ascension", and "St. Denys".