I would recommend Mercedes Rochelle’s post here http://mercedesrochelle.com/wordpress/?p=719 : a discussion of Harold II’s possible remains.
Just to emphasise a few points:
1) “forensic evidence in the 1950s was not exacting” – it wasn’t in the 1930s either, as we know.
2) Richard III is unquestionably the template for such cases. First, find your location. Then find a mtDNA or Y-chromosome comparator, preferably one who is still alive (but a mixed line will not do). Then find permission to dig and compare the DNA sample. Consider the height, age, approximate year of death, dietary evidence and wounds.
3) Harold was Richard III’s ancestor, via Russia and France. Both were experienced and successful commanders who had reigned for a short time having been chosen (by the Witangemot or Parliament) after a longer reign by an Edward who had reclaimed the Crown. Harold had won battles in Wales in 1064 just as Richard’s 1482 campaign in Scotland was a success. Both were defeated by French invasions led by challengers with no valid claim.
The best of luck to anyone identifying Harold II, or Alfred, particularly with the DNA comparison.