Discrepancy between Charles and William Barnes from Long Island 1600's

I have been tracing my family and have a discrepancy as to WHICH brother I am descended from. Some sources say that one brother returned home to Norfolk County England after the death of the father, yet others have him staying here in the states. Has anyone researched the Barnes Family from Long Island? And can anyone supply a source as to which brother went back to England and which one stayed and who were their wives? The sons were William (1643-1699) and Charles. Any information would be appreciated.