His name is not George W. as no one was called George W. for George Washington until after the Revolutionary War.
When doing research over several generations and across several connecting families information can be confused. Understandably, some have done this. Making a family sheet as well as an individual family ancestor chart which may be found through ancestry.com is very beneficial. I can tell some have done this, and some have discovered their error(s) and are trying to correct their information. Good for you.