Mat 26:73
And after a while came unto
him they that stood by, and said to Peter, Surely thou also art
one of them; for thy speech bewrayeth thee.
Mar 14:70
And he denied it again. And a little after, they that stood by said again to Peter, Surely thou art
one of them: for thou art a Galilaean, and thy speech agreeth
thereto.
We also have the complication of regional dialects affecting pronunciation such that Peter was exposed as Galilean rather than Judean because of his accent. The truth is that even if we want to insist on a particular language with a particular spelling, there would still have been more than one way to pronounce His name even in His time.