[1] Needham matriculated at St John's College, Cambridge, on 18 April 1693.
He was appointed vicar of Madingley in 1711, and rector both of Whitton, Suffolk cum Thurleston and Conington, Cambridgeshire, in 1713.
In the following year a prebend in the church of St. Florence, Pembrokeshire, was conferred on him, and in 1717 the rectory of Stanwick, Northamptonshire.
[1][3] A scholar of Latin and Greek, praised by contemporaries, Needham published three editions:[1] Needham also worked over the texts of Æschylus, and his manuscript collections were used by Anthony Askew, Samuel Butler, and Charles James Blomfield in their editions of the dramatist.
Bernard de Montfaucon, the Benedictine editor of John Chrysostom (1718), fulsomely acknowledged assistance from Needham.