DNA test for bones discovered under car park

According to an U.K news report, 'the results of DNA test of the bones found under a parking lot in Leicester is not due until December.'King Richard III ('1452'-1485') is said to have descendants living in Canada. The archaeological project has open up'a public discussion of whether Richard III 'was as wicked as portrayed in William Shakespeare''s play. Did' Shskespeare claim that his play was a factual account of history ?