On 21 January, Phillip and a few officers travelled to Port Jackson, 12 kilometres to the north, to see if it would be a better location for a settlement. They stayed there until 23 January; Phillip named the site of their landing Sydney Cove, after the Home Secretary, Thomas Townshend, 1st Viscount Sydney. They also had some contact with the local aborigines.
They returned to Botany Bay on the evening of 23 January, when Phillip gave orders to move the fleet to Sydney Cove the next morning, 24 January. That day, there was a huge gale blowing, making it impossible to leave Botany Bay, so they decided to wait till the next day, 25 January. However, during 24 January, they spotted the ships Astrolabe and Boussole, flying the French flag, at the entrance to Botany Bay; they were having as much trouble getting into the bay as the First Fleet was having getting out.
On 25 January the gale was still blowing; the fleet tried to leave Botany Bay, but only the HMS Supply made it out, carrying Arthur Phillip, Philip Gidley King, some marines and about 40 convicts; they anchored in Sydney Cove in the afternoon.
On 26 January, early in the morning, Phillip along with a few dozen marines, officers and oarsmen, rowed ashore and took possession of the land in the name of King George III. The remainder of the ship's company and the convicts watched from on board the Supply.
Meanwhile, back at Botany Bay, Captain John Hunter of the HMS Sirius made contact with the French ships, and he and the commander, Captain de Clonard, exchanged greetings. Clonard advised Hunter that the fleet commander was Jean-François de Galaup, comte de La Pérouse. The Sirius successfully cleared Botany Bay, but the other ships were in great difficulty. The Charlotte was blown dangerously close to rocks; the Friendship and the Prince of Wales became entangled, both ship losing booms or sails; the Charlotte and the Friendship actually collided; and the Lady Penrhyn nearly ran aground. Despite these difficulties, all the remaining ships finally managed to clear Botany Bay and sail to Sydney Cove on 26 January. The last ship anchored there at about 3 pm.
Thus began the convict, and ultimately, the colonial era in Australia.
Australia Day (previously known as Anniversary Day, Foundation Day, and ANA Day) is the official national day of Australia. Celebrated annually on 26 January, the date commemorates the arrival of the First Fleet at Sydney Cove, New South Wales in 1788 and the proclamation at that time of British sovereignty over the eastern seaboard of Australia (then known as New Holland).
Note that the formal establishment of the Colony of New South Wales did not occur on 26 January, as is commonly assumed. That did not occur until 7 February 1788, when the formal proclamation of the colony and of Arthur Phillip's governorship were read out.
Happy Australia Day!!