In 1833, Alexander Kilroy, assistant-surgeon of H.M.S. Victory, was appointed to be assistant-surgeon of the Island of Ascension 
He was promoted to Surgeon in the Royal Navy on 15 April 1838.
He was appointed to H.M.S. Favourite, Commander Walter Croker, to serve in the East Indies on 15 April 1838. H.M.S. Favourite, sloop, 432 tons, was built at Portsmouth in 1829. 84 officers and men, 24 boys and 20 marines were employed on board. George F. Munro was employed as Assistant Surgeon. 
Alexander Kilroy was employed on four convict ship voyages to Australia:
China to Van Diemen's Land in 1845 
Mayda to Norfolk Island in 1845. The Mayda arrived at Norfolk Island with convicts 8th January 1846.
Australasia to Van Diemen's Land in 1849
Mermaid to Fremantle in 1851.
In 1854 he was appointed to the Ajax for service with the Baltic fleet. 
Listed in Medical Register 1865. Qualifications: Mem. Royal College Surgeons Eng 1827. 
Alexander Kilroy died in 1872 The Will of Alexander Kilroy formerly of Plymouth in the county of Devon but late of 6 Shaftesbury terrace Kensington in the county of Middlesex, Esquire who died 22 November 1872 at 6 Shaftesbury terrace was proved at the Principal Registry by Maria Lucinda Kilroy of 6 Shaftesbury terrace, widow, the sole Executrix. Effects under £800 
 Hampshire Telegraph 25 February 1833
 The Navy List
 The Standard 24 February 1845
 Caledonian Mercury 16 March 1854
 Medical Register
 England and Wales, National Probate Calendar (Index of Wills and Administration) (Ancestry)
 Haultain, C. (compiled), The New Navy List, 1840, p. 201