After the war, Ogden was a founding member of The Society of the Cincinnati in the state of New Jersey,Metcalf, Bryce (1938). Original Members and Other Officers Eligible to the Society of the Cincinnati, 1783-1938: With the Institution, Rules of Admission, and Lists of the Officers of the General and State Societies Strasburg, VA: Shenandoah Publishing House, Inc., p. 239. and a member of the state's legislative council (1785). He was one of the agents entrusted with the minting of new state coinage for New Jersey, the "Jersey horsehead" pennies.New Jersey Coppers 1786-1790 The coins, which depicted a horse's head and plow, symbols taken from the coat of arms/Seal of New Jersey, on one side, and a "Union" shield taken from the Great Seal of the United States, on the reverse, were produced in a number of locations. Ogden operated his mint in Elizabethtown. In the 1789 presidential election, Ogden was an elector for New Jersey.
