This was the third of five voyages of the Marquis of Hastings bringing convicts to Australia.
Some of the prisoners to be embarked on the Marquis of Hastings were held on the Leviathan hulk at Portsmouth. They were transferred to the Marquis of Hastings on 24 June 1828.
APrison ship in Portsmouth harbour c. 1829 by William Edward Cooke
Example of Prison Hulk Records of the Leviathan showing some of the prisoners held there in June 1828 
The Marquis of Hastings departed Portsmouth 30 June 1828 with 178 male prisoners. There were no deaths and Captain Drake reported that it was an excellent voyage.
Surgeon William Rae
William Rae was approximately forty-two years of age at the time of this voyage. He kept a Medical Journal from 23 May to 28 October 1828. He also kept a Meteorological Register during the voyage commencing on 29 June at Portsmouth and finishing on 9th October in Sydney harbour.
The weather and ship location of every day of the voyage was recorded in his journal - e.g. the convicts of the Marquis of Hastings, experienced on 12th September 1828, at lat. 40° 4' and long 45° 50', a dark and rainy day with strong gales from the north-east.
Excerpt from William Rae's Journal.....In the preceding journal I have detailed every case which occurred on board during the voyage. There are none of them however, of much importance and the remarkable state of good health which we enjoyed during the whole voyage leaves me little room for pathological observation. Several times indeed I had not a man on the sick list, a regulated diet, exercise, clothing, cleanliness and ventilation were the only prophylactics necessary to ensure continuance of good health.
In the three scorbutic cases it will be observed that their constitutions were previously debilitated by hard living and the meteorological table will show that the weather frequently compelled me to keep the prisoners below and by coping with closed hatches in an atmosphere less dry than I could have wished, and consequently favourable to the production of scurvy, particularly in such cases as I have related. Still by taking advantage of every dry day together with the ample means placed at my disposal the disease was successfully combated......
These, gentlemen are the only observations which I have at present to offer, whilst we remain in a state of health, the dull monotony of a sea life, cooped up from all the world, affords little scope for much observation. Suffice it to say in conclusion, therefore, that the provisions and other articles put on board were all of a good quality and regularly supplied by the master of the ship from whom, and his officers I received every assistance in the execution of my duty and it is but Justice to the Master to observe that his ship was clean, well managed and in every respect superior to the majority of ships employed in this service. 
Prisoners, soldiers and crew mentioned in the Surgeon's Journal:
Daniel McCarthy, aged 19, convict
William King, aged 23, private, soldier, 57 Regiment;
Robert Stafford, aged 24, convict
Michael Connor, aged 24, soldier
Charles Brewhouse, aged 21, convict
Edward Schofield, aged 40, convict
James Wiseman, aged 16, convict
James Bristow, aged 22, convict
Edward Schofield, aged 40, convict
Michael Woods, aged 4 months, infant This infant belongs to one of the soldiers of the guard. Died 20 September 1828.
George Martin, aged 19, convict
James Stillwell, aged 19, seaman
Abraham Schofield, aged 40, convict
John Shortis, aged 24, private, soldier
Thomas Smith, aged 26, convict
Thomas Winterburn, aged 54, convict
George Skinner, aged 19, private soldier 
Cabin passengers on the Marquis of Hastings included Colonel Allen 57th regiment and family.
Steerage passengers included Ann Driscol and Harriet Amos, servants to Colonel Allen.
The guard comprised detachments of 57th and 63rd regts., 5 women and 10 children. The husband of Esther Bowman was to make the voyage as a seaman on the Marquis of Hastings. Esther Bowman arrived with their four children as a convict on the Competitor.
Arrival in Port Jackson
The Marquis of Hastings arrived in Port Jackson on 12 October 1828.
A Muster was held on board on 15th October by Colonial Secretary Alexander McLeay. Three men were sent to hospital on arrival. The indents include Name, Age, Education, Religion, Marital Status, Family, Native Place, Trade, Offence, When and Where Tried, Former convictions, Physical Description and to whom Assigned.
In the Hunter Valley convicts were assigned to settlers Thomas Potter Macqueen, John Pike, Peter McIntyre, Thomas Prentice, George Wyndham, William Bell Carlyle, Benjamin Singleton, Leslie Duguid, James Phillips, John Laurio Platt, James Bowman, Archibald Bell, William Ogilvie, Donald McIntyre, John Henry Paga, Alexander McLeod and George Townshend. Select here to find out more about these settlers.
The younger prisoners were sent to the Carter's Barracks.
Location of Carter's Barracks - Historical Atlas of Sydney
Notes and Links
1). Convict John Richardson from Essex who was sentenced to 7 years transportation for pig stealing was executed for bushranging on 5 August 1833.
 Ancestry.com. UK, Royal Navy Medical Journals, 1817-1857. Medical Journal of William Rae on the voyage of the Marquis of Hastings in 1828. The National Archives. Kew, Richmond, Surrey.
 Bateson, Charles, Library of Australian History (1983). The convict ships, 1787-1868 (Australian ed). Library of Australian History, Sydney : pp.348-349, 386
 National Archives - Reference: ADM 101/50/4 Description: Medical and surgical journal of the Marquis of Hastings convict ship for 23 May to 28 October 1828 by William Rae, surgeon, during which time the said ship was employed in a voyage to Sydney, New South Wales.