On 14 March 1804, the EIC accepted George Clay's tender of Alexander for six voyages as an extra ship.

[1] East Indiaman traditionally stopped there to lighten their loads before sailing up the Thames to moorings at Blackwall.

[5] Francklin was again her captain and he sailed Alexander to Bengal and Madras, leaving Portsmouth on 30 March 1806.

[1] Captain William Younghusband took command of Alexander for her fourth voyage, this one to Bombay and Madras.

[1] Captain Charles Hazell Newell took command for this voyage, which was to be to Bengal and Benkulen.

[1] Newell remained captain of Alexander for this voyage to Madras and Bengal, and again sailed without a letter of marque, by this time the war with France being almost over.

[1] On her return voyage she stopped at Point de Galle, where on 18 January 1815 a fire broke out on another Indiaman, the Bengal, which was destroyed.

Newell died while helping to fight the fire,[6] with the result that Alexander sailed home under the command of her first lieutenant, Henry Cobb.

[1] On 2 February 1816, the EIC accepted Robert Mangles's tender of Alexander for one voyage at a rate of £25 19s per ton.

She reached the Cape of Good Hope on 18 February 1817, St Helena on 14 March, and Blackwall on 29 May.