It may be of interest that this flight was undertaken back in 1980 by Miss Janette Schönburg, SOLO, in a Cessna 150, G-AWAW. She departed 50 years to the day after Amy Johnson, but due to weather and some mechanical issues she took somewhat longer than planned. There was a ceremony at Parap (the old aerodrome site) where a plaque was placed near the old hangar that was still there then.
Last time I visited there I could not find said plaque - may have gone to the museum?? Jan was hosted in DRW for some weeks by members of AWPA. The C150 was shipped back to the UK. She went on to command a 146 and other types before retiring to Austria. She wrote a book on the trip titled "She who Dares Succeeds".
From Wikipedia ....
* In the summer of 1980 a Cessna 150F was flown from London, England to Darwin, Australia in 32 stages by Janette Schönburg, a 27-year-old female pilot. Schönburg made the flight to commemorate the 50th anniversary of pioneering female aviator Amy Johnson's 1930 flight between the two cities. This aircraft, UK registration G-AWAW, was used for several years as a static display at the London Science Museum. In May 2010 it was donated to the Cessna 150-152 Club, and shipped to Florida where it is being restored by club members.