In 1761, with Wigtown as the returning burgh, the Earl of Galloway could name the MP. He hoped to return his Naval officer son, the Honourable Keith Stewart. As Stewart was away at sea in the West Indies, the Earl decided to support Archibald Montgomerie until his son returned. Montgomerie was also a candidate for Ayrshire in the same general election. After he was elected for both seats he decided to retain Ayrshire. Stewart was elected at a by-election but soon gave up the seat, as a result of negotiations about the Wigtownshire seat. The energetic intriguer John Hamilton was again elected for the Burghs seat in the third election there in less than a year.