Not too sure they are the same.
One Peter Newton has father Richard 1398-1449;
The other Peter Newton has father Richard 1429-1524
One Peter Newton has mother Emerota;
The other Peter Newton has mother Joanne
One Peter Newton is described as 'of Tabley, Cheshire';
The other Peter Newton was born in Shropshire (over 40 miles away)
What are your sources for matching them?