In 1839 he left the Navy, and travelled to Australia, to join his elder brother Frederick William Bigge, who had settled in New South Wales. The trip from London to Port Jackson took five months. After his arrival in New South Wales, the two brothers were inspired the success of the Leslie Brothers, who pioneered the Darling Downs and decided to try settling in the Moreton Bay district. They travelled overland to the Moreton Bay area in about 1842, where they "squatted" in the Mount Brisbane district, their headquarters being known as "Bigge's Camp". They were nicknamed "Big Bigge" and "Little Bigge". It was during that time that Francis Bigge had an encounter with a notorious gang of bushrangers, known as "Wilson's Gang"in the Moombye district, New South Wales territory, while travelling with cattle from there to Mount Brisbane. Francis Bigge stood his ground determinedly against the bushrangers. One of the bushrangers, Tom Forrester, nicknamed "Long Tom" wanted to shoot Bigge, but the leader of the bushrangers would not allow this, owing to Bigge's bravery. The members of the gang were subsequently hanged. This event is believed to have been used in the novel "Robbery Under Arms". From September 1851 to December 1852, Francis Bigge was elected to the New South Wales Legislative Council representing the Pastoral Districts of Moreton, Wide Bay, Burnett and Maranoa,. About 1852, Bigge had Cleveland House built for him in Cleveland; it may have been intended as a hotel, but was unoccupied for many years and became known as Bigge's Folly. However, later it became the Brighton Hotel and is now the heritage-listed Grand View Hotel.
First return to England
In November 1853, Francis Bigge returned to England, expecting to be away for two to three years. While in England, he pressed for separation of Queensland from New South Wales. In 1857, Francis Bigge married Elizabeth Barbara Ord, the daughter of the Rev. Thomas Charles Old, rector of Gaulby, Leicestershire.
Second Australian sojourn
Francis Bigge returned to Moreton Bay in June 1858, accompanied by his new wife. Francis Bigge was appointed a Member of the first Queensland Legislative Council on 1 May 1860. Initially it was a five-year appointment, but later it was extended to be a life appointment. He resigned on 16 May 1873. During this time, Bigge's Camp became the terminus of Queensland's first railway line. The Queensland GovernorGeorge Bowen decided that Bigge's Camp was too mundane a name and, being a student of the classics, proposed it be renamed Grandchester, Grand being big and chester being camp in Latin.
Later life
In 1873, Francis Bigge returned to England to settle in Cockington, Devon. His wife predeceased him in January 1914. Francis Bigge died on 3 December 1915 at Torquay, England aged 96 years. He was thought to be the oldest officer of the Royal Navy. Apart from some small bequests, his estate valued at £133,795 was shared between his cousin Lord Strathfordham and another cousin Harry Scott Judd.