Mellish, who came of an old London merchant family, went into business in Bishopsgate Street in partnership with John Gore, subsequently his father-in-law. A member of the Russia Company, he had also large interests in Portugal, which suffered considerably in the Lisbon earthquake of 1755.
In 1761 Mellish was returned unopposed for Grimsby in place of his father-in-law. In Bute’s list of December 1761 he was classed as a follower of Newcastle. The following year he and Walpole lost their contract,
In 1768 and 1774 Mellish was again returned unopposed for Grimsby. During the 1768 Parliament his only recorded votes were with Administration: on the Middlesex election, 8 May 1769, and on Brass Crosby, 27 Mar. 1771; but both Robinson’s surveys of March 1772 on the royal marriage bill classed him as ‘contra, present’, and at the end of that Parliament Robinson in September 1774 again listed him as ‘contra’. During the Parliament of 1774, on the contractors bill, 12 Feb. 1779, he was marked as ‘pro, absent. Query hopeful.’ His only recorded vote was with Administration on the motion against prorogation, 24 Apr. 1780. Robinson in his survey of July 1780 thought it likely that Mellish would be re-elected for Grimsby, and though ‘not a constant attender, yet when he does attend he is generally with and therefore classed hopeful’. But Mellish did not stand again.
He died on 7 Dec. 1790, aged 73.
