Francis Burleigh (Burley, Burghley) is not quite anonymous, although there appears no evidence as to when or where he was born, or when or where he died. Is there not a currently living member of the Burleigh family, willing to research the records to discover more about this member of the committee, which bequeathed the Book of Books to the English-speaking world?
The Wikipedia site awaits.
Chelsea College, London
Burleigh was made a fellow of Chelsea College (1), founded in London by royal charter two years before the KJV was published. Other translators among the original fellows were John Overall, Miles Smith, John Spenser, and John Boys. Other original fellows included John Layfield and Richard Brett. Burleigh was appointed to contribute to Lancelot Andrewes' "First Westminster Company," in the translating of the first twelve books of the Bible. Presumably, the need to graduate in Classics and/or divinity at Oxford or Cambridge, was an essential requirement for this task.
Nicolson tells us he was appointed as Vicar of Bishop's Stortford by Lancelot Andrewes in 1590. (2) He is also named as Rector of St. James the Great Church Thorley, Hertfordshire, from 1594 - 1610.
He was appointed a third living as rector of St Benet Paul's Wharf, London. (3)
(1) Bobrick, Benson. (2001) The Making of the English Bible Lon: Weidenfeld & Nicolson, p. 231.
(2) Nicolson, Adam. (2003) Power and glory: Jacobean England and the making of the King James Bible, Lon: Harper. p. 253.
(3) Westbrook, Vivienne (2004) Oxford Dictionary of National Biography