She otherwise carried ordinary valuable cargo and in one of such voyages came across what has since been named Blenheim Reef, in the Indian Ocean.

[1] First convict voyage (1834): Under the command of Jasper Brown, Blenheim sailed from Cork, Ireland on 27 July 1834 and arrived at Port Jackson on 14 November 1834.

Second convict voyage (1837): Sailing from Woolwich on 15 March 1837, under the command of Josiah Spence, she arrived at Hobart Town on 16 July 1837.

Third convict voyage (1839): Under the command of John Gray, she left Dublin, Ireland on 19 May 1839, and arrived at Port Jackson on 27 September.

Captain Gray sailed Blenheim under charter by the New Zealand Company, from London to Wellington in 1840 with 197 settlers.