Oram was educated as an architect, and, through the patronage of Sir Edward Walpole, obtained the position of master-carpenter to the Board of Works.
He designed a triumphal arch for the coronation of George III of Great Britain, of which an engraving was published.
[1] Thomas James Mulvany's opinion was that Oram painted in the style of John Wootton, and had probably been his pupil.
[1] In his will, dated 4 January 1776, and proved 17 March 1777, Oram described himself as of St. John's, Hampstead, and left everything to his wife Elizabeth.
She then gave his manuscripts to his close relative the antiquarian Charles Clarke, who in 1810 published from them Precepts and Observations on the Art of Colouring in Landscape-Painting, by the late William Oram, esq., of his Majesty's Board of Works.