No. The Peverells are related to the Potters (as the cloak was passed though the generations though the last living Peverell) and Rowling has said that Harry (The last living Potter) is not related to Gryffindor or Slytherin. Ergo, The Peverells are not related to Gryffindor.
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It isn't specifically known how Harry was related to them except they were in the same family tree on his dad's side. He was related to Ignotus Peverell, the original owner of the invisibility cloak, because the cloak was then passed down from father to son and finally to Harry.
Proboly somewhere in the line, as they are both pureblood, but not close enough to say something like, Harry and Voldemort are cousins.
There is no Ron Grigsby but there is a Ron Weasley
they are the same people
Arthur Weasley.
Arthur Weasley
Ron is short for Ronald, which is Ronald Weasley's real name, as shown in The Will of Albus Dumbledore in Harry Potter and the Deathly Hallows and said many times by Hermione Granger in the films.