The Prince Regent was built in Shields in 1810. This was the last of three voyages transporting convicts to New South Wales, the others being in 1820 and 1824.
Departure from England
The Prince Regent was the next convict ship to leave England for New South Wales after the departure of the Harmony a week previously. The Prince Regent departed London on 11th June 1827, passing nearby Cape Finestere on 20th June, near Madeira 25th June, calling at Tenerife on 2nd July, and passing Canary Island on 5th July.
The Guard comprised a detachment of 29 men 57th regiment under orders of Lieut. Campbell.
Cabin Passengers included :
1). Ensign Charles Henry Darling of 57th regiment, nephew to His Excellency, Governor Darling and later Governor of Victoria. He was about 18 years of age in 1827. Find out more about Sir Charles Henry Darling at Australian Dictionary of Biography
2). Major Sir Thomas Livingstone Mitchell with his wife and family. He was appointed to the position of Assistant Surveyor General of New South Wales. The following year he became Surveyor General, a position he held until his death. He was about 35 years of age in 1827.
3). Lieut. Hughes, Royal Staff Corps who was appointed surveyor of roads and bridges in 1828
4). P Elliott, assistant surveyor, who later worked under Sir Thomas L. Mitchell on the Victoria Pass Roadway;
5). William Rice.
Surgeon William Rae
William Rae was born in Dumfries-shire, the son of Matthew Rae of Park End Annandale, Dumfries shire. He was educated at Loch Maben and Dumfries and afterwards graduated M.D. at Edinburgh University. He was about forty-one years of age in 1827.
William Rae kept a Medical Journal from 1 May to 15 October 1827...... At the end of the voyage he remarked that:
The prisoners generally conducted themselves well and by due enforcement of the rules and regulations laid down for their governance at the commencement of the voyage little trouble occurred to me during the remaining part of it. The provisions were all of the best quality. The Master of the ship was kind and humane and whilst in his power supplied me with milk, daily for one of my worst patients. From him and his Officers I received every support and assistance in the execution of my duty. 
The following men were treated by the surgeon on the passage out:
Pat Hammond, aged 19, private, 47th Regiment
Enock Lucock, aged 18, convict;
Edward Wiltshire, aged 21, convict;
John Laurence, aged 28, convict;
Patrick Henry, aged 21, private, soldier;
Joseph York, aged 22, convict;
John Jenkins, aged 19, convict;
James Maisey, aged 43, convict;
Thomas Stroud, aged 25, convict;
Samuel Asherd, aged 20, convict;
Joseph Dyson, aged 20, convict;
Matthew Hull, aged 30, convict;
Edward Thorpe, aged 25, convict;
Timothy Martin, aged 19, convict;
Samuel Solomons, aged 20, convict;
Thomas Fowler, aged 26, convict; 
Arrival in Port Jackson
The Prince Regent arrived in Port Jackson on 27 September 1827.
A muster was held on board by Colonial Secretary Alexander McLeay on 3rd October 1827.
Asia 1828 departed London 23 November 1828 - Lieutenant George Edwards
 Bateson, Charles Library of Australian History (1983). The convict ships, 1787 - 1868 (Australian ed). Library of Australian History, Sydney : pp.346-347, 385
 Ancestry.com. UK, Royal Navy Medical Journals, 1817-1857. Medical Journal of William Rae on the voyage of the Prince Regent in 1827. The National Archives. Kew, Richmond, Surrey.
 National Archives - Reference: ADM 101/61/3 Description: Medical and surgical journal of the convict ship Prince Regent for 1 May to 15 October 1827 by William Rae, surgeon and superintendent, during which time the said ship was employed in a voyage to New South Wales.