In 1753 Wenman Roberts, having on the death of his cousin Edward, Viscount Coke, become heir to the estates of his uncle, Thomas, Earl of Leicester, assumed the name of Coke, and was returned in place of his cousin at Harwich. When it became clear that Coke would not be returned by the Administration for Harwich in 1761, Leicester declared that he would find another seat for him. He wrote to the Duke of Devonshire: ‘In these times of constant changes, I really think it better for him to be on his own legs than obliged to any.’
He died 11 Apr. 1776.
