Their most accurate nav aid would have been sunrise. With a good chronometer (not unusual at the time, esp for someone trained in maritime celestial navigation) position at sunrise would give them the longitude line of their position.
From there, using DR&P, they would have the longitude of their destination. Just have to determine the latitude (which they failed to do).
In previous “spats” over position with her navigator, AH would always make a right turn when she felt they were lost. If she did this on the last leg, it would point her toward Nikumaroro Island.
With a keen knowledge wave shapes and the sky, early peoples crossed the Pacific to South America.
Columbus had a compass and quadrant, he found the Bahamas, with topless native girls!
You just know he will find his way back; repeatedly.
Lindbergh had an induction compass, watch, clock and maps.
Head east to coastline, check maps head to Paris.
Amelia Earhart and Fred Noonan had all usual aids and early radio direction finding equipment.
But their destination was fly speck, proving yet again that”Fate is the hunter” (That Gann guy made me write that!)
What is DR&P?