The one in the pic above is the aircraft Kingsford Smith flew from Oakland to Brisbane in the first Pacific crossing - the Southern Cross.
I think this is what you're looking for (copy and paste job):
Captain Bill Lancaster
http://www.tne.net.au/wil/avhisi.html
In 1962 the French Army discovered the wreck of Bill Lancaster's 'Southern Cross Minor' AVRO Avian. Having been lost in the severe desert region of Africa, near Reggan, Algeria, 29 years before. This solved a mystery which had enthralled the World in 1933.
Australian Captain Bill Lancaster poses with his Avro Avian Mk.V Southern Cross Minor before setting out on his 1933 attempt at a record-setting flight from England to Cape Town, South Africa
http://africanhistory.about.com
A former Australian Flying Corps pilot and a former boxer and accomplished horseman, Bill took great risks in trying to break the London to Cape record of a Puss Moth flown by Amy Johnson. His plane was much slower and he took minimal supplies. He was broke and desperate.
Despite entreaties by officials at Reggan not to fly South across the desert, as he had been 30 hours in the air without sleep, he took off in the dark. The engine lost power and failed within two hours and he crashed and lay upside down unconscious for several hours. He survived for a week before dying and leaving a poignant diary. The remains of his plane is in The Queensland Museum, Brisbane, in a realistic display.