According to the John Carroll Chase / George Chamberlain investigation (and they are considered to be competent genealogists) the parents of Richard (bp 23 Aug 1542) were Thomas Chase (born abt 1520, buried 27 Jun 1586), and an Elizabeth, whose last name they were unable to confirm with certainty. Other sources identify her as Elizabeth Bowchiew. I don't believe that I have ever encountered the other names of the other possible parents that you mention, Richard Chase and Mary Roberts, so I have no idea just where they came from. Dick Chase