Many people do not realise the very small window History had to identify Richard III.
DNA was only discovered in the last few years His two remaining identifiable descendants were in their 80's with no descendants to replace them. The two came together , just as a body was found in Leicester, And just in time to identify 100% as Richard III.
Historians were very, very lucky he was discovered when he was. Otherwise the doubt would have always have been there !!
Don't know who the two 80 year olds are ? But the two ( much younger) people in the attached article were used as the Match for DNA proofhttp://www.bbc.co.uk/news/science-environment-30281333