Kammala wannan jumla: A ƙarshen 1802, an nada Woodriff a matsayin kwamandan na, wani jirgin ruwa mai bindigogi 50 da aka yi amfani da shi "en flûte", kuma ya dace da safarar fursunoni. Suna kan hanyarsu zuwa Port Phillip a Bass Strait, a kudancin Australia, da niyyar kafa mazauni a can a ƙarƙashin umurnin David Collins. "Calcutta" ya tashi daga Spithead a ranar 28 ga Afrilu 1803, tare da kamfanin "Ocean", yana kiran Rio de Janeiro a watan Yuli, da Cape of Good Hope a watan Agusta, ya isa inda aka nufa a watan Oktoba. "Calcutta" sannan ya tashi shi kaɗai zuwa Port Jackson don ɗaukar kaya na katako. Duk da yake a Sydney, Woodriff da ma'aikatan "Calcutta" sun taimaka wajen kawar da
'Yan tawayen Castle Hill sun yi tawaye. Don wannan sabis, Woodriff ya sami kyautar ƙasa kusa da Penrith, New South Wales a 1804.