Nedham belonged to a family long established in Jamaica, but neither he nor his father lived there. In 1774, six weeks before the dissolution, he was returned at Winchelsea on the Nesbitt interest. At the general election he contested Wallingford in company with T. F. Wenman, and supported by Lord Abingdon, but was forced to decline soon after the poll commenced.
He died 27 Apr. 1806, aged 65.
