Worgan married three times over his lifetime. He married, firstly, Sarah Mackelcan at St Peter le Poer, London, in 1753. He had nine children with his wife; among whom was George Bouchier Worgan (bapt. 3 May 1757 at St Andrew's Church, Holborn), who was the naval surgeon on board the H.M.S. Sirius in the First Fleet to Australia, and Charlotte Sophia Worgan (bapt. 2 September 1761 at St Andrew's, Holborn) who married (at St Mary's church, Marylebone, in 1778) (Sir) Charles Parsons (d. 1817), later Master of the King's Band. Worgan obtained an Act of Parliament (9 Geo III c.57) in 1769 to divorce his wife for her adultery. He married, secondly, Eleanor Baston in 1770 (at St Andrew's, Holborn). He had two more children with Eleanor, the elder of whom was Thomas Danvers Worgan, subsequently a musicologist. He married, thirdly, Martha Cooke, a widow, in 1779 at St Mary, Aldermanbury.
John Worgan died at age 66 at Gower Street on 24 August 1790 after "an operation for the stone." He was buried at St. Andrew Undershaft on 31 August. One of his favourite pupils, Charles Wesley (1757–1834), presided at the organ.
A grandson, George Worgan (bapt. 18 January 1803 at St James's church, Chipping Campden, died 2 Apr 1888 at Tinakori Road, Wellington, New Zealand), was a musician of sufficient calibre to warrant a notice in the Musical Times upon his death. George was an organist and pianoforte teacher, with a roster of students that included musicians' children and English nobility. After retiring around 1850, he emigrated to New Zealand, where he raised sheep and taught music until his death at age 86.
John became a pupil of his brother, James, with instruction in harpsichord and organ. James Worgan (1715–1753) was an organist and cello player, including at Vauxhall Gardens from 1737 to 1751. John subsequently studied under organist Thomas Roseingrave and musical theorist/composer Francesco Geminiani. He also greatly admired the work of Domenico Scarlatti.
John Worgan became a skilful organist with many appointments. He succeeded his brother James as organist at St Andrew Undershaft with St Mary Axe in 1749; at Vauxhall Gardens, in 1751; and at St. Botolph, Aldgate, upon his brother's death in 1753. (Their sister Mary succeeded James as the organist at St Dunstan-in-the-East.) He subsequently became organist of St. John's Chapel, Bedford Row in 1760. He held the post of "composer" to Vauxhall Gardens from 1753 to 1761, and again from 1770 to 1774.
He also acted as music editor for a number of his contemporaries.
John Worgan's compositions include two oratorios: ‘Hannah’ (King's Theatre, Haymarket, 3 April 1, 1764) and 'Manasseh' (Lock Hospital Chapel, 30 April 1766); 'We will rejoice in Thy salvation,' a thanksgiving anthem for victories (29 Nov 1759); many songs for Vauxhall Gardens, of which thirteen books (at least) were published; psalm tunes, glees, organ music, and sonatas and other pieces for the harpsichord. Some of his manuscripts are in British Museum Addit. MSS. 31670, 31693, 34609, and 35038.
Worgan is persistently credited with having composed the Easter hymn 'Christ the Lord Is Risen Today.' The tune, however, appeared anonymously in Lyra Davidica (1708), sixteen years before Worgan was born.
Four interesting tributes demonstrate Worgan's remarkable powers as an organist, whose performances always attracted great crowds both of professors and amateurs:
- George Frideric Handel said: "Mr. Worgan shall sit by me; he plays my music very well at Vauxhall."
- Richard Cecil wrote: "Admiration and feeling are very distinct from each other. Some music and oratory enchant and astonish, but they speak not to the heart... Dr. Worgan has so touched the organ at St. John's that I have been turning backward and forward over the prayer-book for the first lesson in Isaiah and wondered that I could not find Isaiah there!".
- Martin Madan, in a satirical song upon Joah Bates, issued anonymously, and set to music by Samuel Wesley, entitled 'The Organ laid open, &c.,' placed him as a player upon an equality with Handel: "Let Handel or Worgan go thresh at the organ".
- Burney refers to him as "a very masterly and learned fugueist on the organ."
- Edwards, Frederick George (1885–1900). "Worgan, John". Dictionary of National Biography. London: Smith, Elder & Co.
- "Memoire of the Life and Works of John Worgan". Quarterly Musical Magazine and Review: 113–134.
- "John Worgan". The Georgian Era: Memoires of the Most Eminent Persons, Who Have Flourished in Great Britain, from the Ascension of George the First to the Demise of George the Fourth, in Four Volumes. 4: Political and Rural Economists; Painters, Sculptors, Architects, and Engravers; Composers; Vocal, Instrumental, and Dramatic Performers. London: Vizetelly, Branston and Co. 1834. pp. 314–315.
- "Correspondence – Mr. George Worgan". The Musical Times. 29: 490–491. 1 August 1888. doi:10.2307/3359399.
- "Musical Performers and Composers at Vauxhall Gardens, 1661–1859". Vauxhall Gardens. Retrieved 17 September 2013.
- Burney, Charles (1789). A General History of Music: From The Earliest Ages to the Present Period. Volume the Fourth. London. p. 665.
- Grove, George, ed. (1878–1889). Dictionary of Music and Musicians (A.D. 1450 – 1889). iv. Oxford: Horace Hart, Printer to the University. p. 486.
- "The Royal Society of Musicians of Great Britain". The Musical Times. 29: 713. 1 December 1888. doi:10.2307/3360150.
The names of Arne, Beard, Boyce, Henry Carey, Corfe, Bernard Gates, Dr. Greene, Galliard, Handel, Hayes, Jackson of Exeter, Leveridge, Pepusch, Stanley (the blind organist), Smith (Handel's amanuensis), Dr. Worgan, Weidemann, Vincent, and others, appear among the founders.
- Richard Watson et al., The Christian library: A reprint of popular religious works, Volume 8, Publisher Thomas George, Jr., 1836, page 68
- Rev. Henry Parr, ed. (1889). Church of England Psalmody: Containing Psalm and Hymn Tunes in Above One Hundred Different Metres, Chants, Responses, and Doxologies : Set for Four Voices and Organ : with Memoirs of the Composers and Histories of the Pieces. Novello, Ewer. pp. Biographical preface.
- Brit. Mus. Cat.