Kammala jumla mai zuwa: Curzon shi ne ɗan na biyar na Nathaniel Curzon, 1st Baron Scarsdale, da matarsa Caroline. Ya fara shiga cikin Navy a ranar 14 ga Oktoba 1776 a matsayin mai iya aiki a cikin jirgin ruwa. Lokacin da "Aeolus" ya dawo daga West Indies a 1780, ya zama mai kula da jirgin ruwa. An aika "Magnanime" don taimakawa wajen taimakawa Gibraltar a 1781, sa'an nan kuma zuwa Gabas ta Gabas a 1782, don karfafa rundunar jiragen ruwa a karkashin Sir Edward Hughes. An tura Curzon zuwa jirgin ruwa, kuma ya yi yaƙi a yaƙe-yaƙe na
Providien, Negapatam, da kuma Trincomalee. A ranar 1 ga Fabrairun 1783, ya sami laftananci a kan "Monarca" kuma yana tare da wannan jirgi a yakin Cuddalore a 1783, aikinsa na ƙarshe a Gabas.