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He may have been Edward Branstone (or Bramstone) Bayley, the son of John Bayley of the Clockmakers Company, who was apprenticed to his father in 1729 and free early in 1738.
Edward Bramstone Bayley took Giles Hooper (Grimwade p.295, 336) and William Underwood as apprentices in 1747 and 1752 respectively.
A clockmaker registered as Edward Brampton Bayley paid Duty for the apprentice indentures of Letitia Williams in 1762.

June 5, 1749 Josiah son of Josiah Alderson Southwark victualer signed an indenture contract for a seven year term under Edward Bramston Bayley Clockmaker of London.

Also on June 5, 1749 Richard son of John Crump of the County of Stafford Husbandman signed an indenture contract for a seven year term with Edward Bramston Bayley Clockmaker of London.

20 July 1745 Edward Bramston Bayley Clockmaker paid apprentice indenture duty for Edward son of Jeremiah Rowell.

15 May 1765 Edward Bramston Bayley Clockmaker of London paid apprentice indenture duty for Richard Powell.

5 February 1733 Edward Branstone Bayley with the consent of one of the executors, Jacob Forster, of the master turned over to Andrew Bray Butcher of the same trade.