[1] Mudge was employed under his father on the Ordnance Survey, and was for some years in charge of the drawing department at the Tower of London.
[1] About 1830 the question of the boundary between Maine and New Brunswick assumed a high profile, leading to a confrontation, the so-called Aroostook War.
The British government in 1838, to bring the matter to a settlement, appointed Mudge and George William Featherstonhaugh commissioners to examine the territory in dispute and report on the claims of the United States.
The party reached Quebec on 21 October, and Mudge made a side trip to Niagara, before returning to New York, and England at the end of the year.
[1] The issue was resolved by new governments on both sides of the Atlantic, despite reservations from Featherstonehaugh, who had a low opinion of Mudge, and the American view that the report, based on notional features, was partisan.
[1] Mudge wrote Observations on Railways, with reference to Utility, Profit, and the Obvious Necessity of a National System, London, 1837.